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Finding the Fourth Proportional to 1,269.69, 1,752.17 and 710.21

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Solution

The fourth proportional to 1,269.69, 1,752.17 and 710.21 is: 980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.69 : 1,752.17 = 710.21 : x
  2. Step 2: Convert to fraction form
    1,269.69/1,752.17 = 710.21/x
  3. Step 3: Cross multiply
    1,269.69x = 1,752.17 × 710.21
  4. Step 4: Simplify right side
    1,269.69x = 1,244,396.34
  5. Step 5: Solve for x
    x = 1,244,396.34/1,269.69
  6. Step 6: Final answer
    x = 980.08

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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.