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Finding the Fourth Proportional to 665.14, 916.98 and 560.65

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Solution

The fourth proportional to 665.14, 916.98 and 560.65 is: 772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.14 : 916.98 = 560.65 : x
  2. Step 2: Convert to fraction form
    665.14/916.98 = 560.65/x
  3. Step 3: Cross multiply
    665.14x = 916.98 × 560.65
  4. Step 4: Simplify right side
    665.14x = 514,104.84
  5. Step 5: Solve for x
    x = 514,104.84/665.14
  6. Step 6: Final answer
    x = 772.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.