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Finding the Fourth Proportional to 904.60, 1,356.54 and 471.88

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Solution

The fourth proportional to 904.60, 1,356.54 and 471.88 is: 707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.60 : 1,356.54 = 471.88 : x
  2. Step 2: Convert to fraction form
    904.60/1,356.54 = 471.88/x
  3. Step 3: Cross multiply
    904.60x = 1,356.54 × 471.88
  4. Step 4: Simplify right side
    904.60x = 640,124.10
  5. Step 5: Solve for x
    x = 640,124.10/904.60
  6. Step 6: Final answer
    x = 707.63

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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.