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Finding the Fourth Proportional to 702.32, 1,054.43 and 410.12

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Solution

The fourth proportional to 702.32, 1,054.43 and 410.12 is: 615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.32 : 1,054.43 = 410.12 : x
  2. Step 2: Convert to fraction form
    702.32/1,054.43 = 410.12/x
  3. Step 3: Cross multiply
    702.32x = 1,054.43 × 410.12
  4. Step 4: Simplify right side
    702.32x = 432,435.51
  5. Step 5: Solve for x
    x = 432,435.51/702.32
  6. Step 6: Final answer
    x = 615.73

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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.