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Finding the Fourth Proportional to 560.17, 839.76 and 512.02

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Solution

The fourth proportional to 560.17, 839.76 and 512.02 is: 767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.17 : 839.76 = 512.02 : x
  2. Step 2: Convert to fraction form
    560.17/839.76 = 512.02/x
  3. Step 3: Cross multiply
    560.17x = 839.76 × 512.02
  4. Step 4: Simplify right side
    560.17x = 429,973.92
  5. Step 5: Solve for x
    x = 429,973.92/560.17
  6. Step 6: Final answer
    x = 767.58

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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.