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Finding the Fourth Proportional to 1,135.74, 1,702.80 and 702.48

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Solution

The fourth proportional to 1,135.74, 1,702.80 and 702.48 is: 1,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.74 : 1,702.80 = 702.48 : x
  2. Step 2: Convert to fraction form
    1,135.74/1,702.80 = 702.48/x
  3. Step 3: Cross multiply
    1,135.74x = 1,702.80 × 702.48
  4. Step 4: Simplify right side
    1,135.74x = 1,196,182.94
  5. Step 5: Solve for x
    x = 1,196,182.94/1,135.74
  6. Step 6: Final answer
    x = 1,053.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.