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Finding the Fourth Proportional to 702.65, 1,054.70 and 410.69

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Solution

The fourth proportional to 702.65, 1,054.70 and 410.69 is: 616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.65 : 1,054.70 = 410.69 : x
  2. Step 2: Convert to fraction form
    702.65/1,054.70 = 410.69/x
  3. Step 3: Cross multiply
    702.65x = 1,054.70 × 410.69
  4. Step 4: Simplify right side
    702.65x = 433,147.42
  5. Step 5: Solve for x
    x = 433,147.42/702.65
  6. Step 6: Final answer
    x = 616.45

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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.