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Finding the Fourth Proportional to 1,098.65, 1,515.73 and 705.91

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Solution

The fourth proportional to 1,098.65, 1,515.73 and 705.91 is: 973.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.65 : 1,515.73 = 705.91 : x
  2. Step 2: Convert to fraction form
    1,098.65/1,515.73 = 705.91/x
  3. Step 3: Cross multiply
    1,098.65x = 1,515.73 × 705.91
  4. Step 4: Simplify right side
    1,098.65x = 1,069,957.86
  5. Step 5: Solve for x
    x = 1,069,957.86/1,098.65
  6. Step 6: Final answer
    x = 973.88

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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.