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Finding the Fourth Proportional to 907.32, 1,359.01 and 560.74

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Solution

The fourth proportional to 907.32, 1,359.01 and 560.74 is: 839.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.32 : 1,359.01 = 560.74 : x
  2. Step 2: Convert to fraction form
    907.32/1,359.01 = 560.74/x
  3. Step 3: Cross multiply
    907.32x = 1,359.01 × 560.74
  4. Step 4: Simplify right side
    907.32x = 762,051.27
  5. Step 5: Solve for x
    x = 762,051.27/907.32
  6. Step 6: Final answer
    x = 839.89

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