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Finding the Fourth Proportional to 1,142.34, 1,576.52 and 645.14

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Solution

The fourth proportional to 1,142.34, 1,576.52 and 645.14 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.34 : 1,576.52 = 645.14 : x
  2. Step 2: Convert to fraction form
    1,142.34/1,576.52 = 645.14/x
  3. Step 3: Cross multiply
    1,142.34x = 1,576.52 × 645.14
  4. Step 4: Simplify right side
    1,142.34x = 1,017,076.11
  5. Step 5: Solve for x
    x = 1,017,076.11/1,142.34
  6. Step 6: Final answer
    x = 890.34

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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.