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Finding the Fourth Proportional to 1,164.68, 1,746.18 and 702.80

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Solution

The fourth proportional to 1,164.68, 1,746.18 and 702.80 is: 1,053.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.68 : 1,746.18 = 702.80 : x
  2. Step 2: Convert to fraction form
    1,164.68/1,746.18 = 702.80/x
  3. Step 3: Cross multiply
    1,164.68x = 1,746.18 × 702.80
  4. Step 4: Simplify right side
    1,164.68x = 1,227,215.30
  5. Step 5: Solve for x
    x = 1,227,215.30/1,164.68
  6. Step 6: Final answer
    x = 1,053.69

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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.