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Finding the Fourth Proportional to 1,165.80, 1,746.39 and 702.21

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Solution

The fourth proportional to 1,165.80, 1,746.39 and 702.21 is: 1,051.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.80 : 1,746.39 = 702.21 : x
  2. Step 2: Convert to fraction form
    1,165.80/1,746.39 = 702.21/x
  3. Step 3: Cross multiply
    1,165.80x = 1,746.39 × 702.21
  4. Step 4: Simplify right side
    1,165.80x = 1,226,332.52
  5. Step 5: Solve for x
    x = 1,226,332.52/1,165.80
  6. Step 6: Final answer
    x = 1,051.92

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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.