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Finding the Fourth Proportional to 904.80, 1,356.88 and 471.92

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Solution

The fourth proportional to 904.80, 1,356.88 and 471.92 is: 707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.80 : 1,356.88 = 471.92 : x
  2. Step 2: Convert to fraction form
    904.80/1,356.88 = 471.92/x
  3. Step 3: Cross multiply
    904.80x = 1,356.88 × 471.92
  4. Step 4: Simplify right side
    904.80x = 640,338.81
  5. Step 5: Solve for x
    x = 640,338.81/904.80
  6. Step 6: Final answer
    x = 707.71

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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.