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Finding the Fourth Proportional to 702.63, 1,052.33 and 394.02

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Solution

The fourth proportional to 702.63, 1,052.33 and 394.02 is: 590.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.63 : 1,052.33 = 394.02 : x
  2. Step 2: Convert to fraction form
    702.63/1,052.33 = 394.02/x
  3. Step 3: Cross multiply
    702.63x = 1,052.33 × 394.02
  4. Step 4: Simplify right side
    702.63x = 414,637.10
  5. Step 5: Solve for x
    x = 414,637.10/702.63
  6. Step 6: Final answer
    x = 590.12

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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.