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Finding the Fourth Proportional to 702.01, 1,052.94 and 291.02

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Solution

The fourth proportional to 702.01, 1,052.94 and 291.02 is: 436.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.01 : 1,052.94 = 291.02 : x
  2. Step 2: Convert to fraction form
    702.01/1,052.94 = 291.02/x
  3. Step 3: Cross multiply
    702.01x = 1,052.94 × 291.02
  4. Step 4: Simplify right side
    702.01x = 306,426.60
  5. Step 5: Solve for x
    x = 306,426.60/702.01
  6. Step 6: Final answer
    x = 436.50

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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.