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Finding the Fourth Proportional to 904.71, 1,356.24 and 471.78

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Solution

The fourth proportional to 904.71, 1,356.24 and 471.78 is: 707.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.71 : 1,356.24 = 471.78 : x
  2. Step 2: Convert to fraction form
    904.71/1,356.24 = 471.78/x
  3. Step 3: Cross multiply
    904.71x = 1,356.24 × 471.78
  4. Step 4: Simplify right side
    904.71x = 639,846.91
  5. Step 5: Solve for x
    x = 639,846.91/904.71
  6. Step 6: Final answer
    x = 707.24

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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.