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Finding the Fourth Proportional to 873.38, 1,205.18 and 500.28

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Solution

The fourth proportional to 873.38, 1,205.18 and 500.28 is: 690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.38 : 1,205.18 = 500.28 : x
  2. Step 2: Convert to fraction form
    873.38/1,205.18 = 500.28/x
  3. Step 3: Cross multiply
    873.38x = 1,205.18 × 500.28
  4. Step 4: Simplify right side
    873.38x = 602,927.45
  5. Step 5: Solve for x
    x = 602,927.45/873.38
  6. Step 6: Final answer
    x = 690.34

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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.