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Finding the Fourth Proportional to 702.51, 1,048.44 and 686.13

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Solution

The fourth proportional to 702.51, 1,048.44 and 686.13 is: 1,023.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.51 : 1,048.44 = 686.13 : x
  2. Step 2: Convert to fraction form
    702.51/1,048.44 = 686.13/x
  3. Step 3: Cross multiply
    702.51x = 1,048.44 × 686.13
  4. Step 4: Simplify right side
    702.51x = 719,366.14
  5. Step 5: Solve for x
    x = 719,366.14/702.51
  6. Step 6: Final answer
    x = 1,023.99

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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.