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Finding the Fourth Proportional to 702.95, 1,053.81 and 410.74

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Solution

The fourth proportional to 702.95, 1,053.81 and 410.74 is: 615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.95 : 1,053.81 = 410.74 : x
  2. Step 2: Convert to fraction form
    702.95/1,053.81 = 410.74/x
  3. Step 3: Cross multiply
    702.95x = 1,053.81 × 410.74
  4. Step 4: Simplify right side
    702.95x = 432,839.28
  5. Step 5: Solve for x
    x = 432,839.28/702.95
  6. Step 6: Final answer
    x = 615.75

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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.