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Finding the Fourth Proportional to 560.72, 836.97 and 520.06

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Solution

The fourth proportional to 560.72, 836.97 and 520.06 is: 776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.72 : 836.97 = 520.06 : x
  2. Step 2: Convert to fraction form
    560.72/836.97 = 520.06/x
  3. Step 3: Cross multiply
    560.72x = 836.97 × 520.06
  4. Step 4: Simplify right side
    560.72x = 435,272.53
  5. Step 5: Solve for x
    x = 435,272.53/560.72
  6. Step 6: Final answer
    x = 776.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.