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Finding the Fourth Proportional to 1,030.71, 1,419.28 and 890.58

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Solution

The fourth proportional to 1,030.71, 1,419.28 and 890.58 is: 1,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.71 : 1,419.28 = 890.58 : x
  2. Step 2: Convert to fraction form
    1,030.71/1,419.28 = 890.58/x
  3. Step 3: Cross multiply
    1,030.71x = 1,419.28 × 890.58
  4. Step 4: Simplify right side
    1,030.71x = 1,263,982.38
  5. Step 5: Solve for x
    x = 1,263,982.38/1,030.71
  6. Step 6: Final answer
    x = 1,226.32

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.