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Finding the Fourth Proportional to 1,715.23, 2,572.85 and 560.98

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Solution

The fourth proportional to 1,715.23, 2,572.85 and 560.98 is: 841.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.23 : 2,572.85 = 560.98 : x
  2. Step 2: Convert to fraction form
    1,715.23/2,572.85 = 560.98/x
  3. Step 3: Cross multiply
    1,715.23x = 2,572.85 × 560.98
  4. Step 4: Simplify right side
    1,715.23x = 1,443,317.39
  5. Step 5: Solve for x
    x = 1,443,317.39/1,715.23
  6. Step 6: Final answer
    x = 841.47

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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.