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Finding the Fourth Proportional to 1,572.08, 2,358.46 and 476.53

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Solution

The fourth proportional to 1,572.08, 2,358.46 and 476.53 is: 714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.08 : 2,358.46 = 476.53 : x
  2. Step 2: Convert to fraction form
    1,572.08/2,358.46 = 476.53/x
  3. Step 3: Cross multiply
    1,572.08x = 2,358.46 × 476.53
  4. Step 4: Simplify right side
    1,572.08x = 1,123,871.64
  5. Step 5: Solve for x
    x = 1,123,871.64/1,572.08
  6. Step 6: Final answer
    x = 714.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.