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Finding the Fourth Proportional to 702.23, 1,051.38 and 529.70

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Solution

The fourth proportional to 702.23, 1,051.38 and 529.70 is: 793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.23 : 1,051.38 = 529.70 : x
  2. Step 2: Convert to fraction form
    702.23/1,051.38 = 529.70/x
  3. Step 3: Cross multiply
    702.23x = 1,051.38 × 529.70
  4. Step 4: Simplify right side
    702.23x = 556,915.99
  5. Step 5: Solve for x
    x = 556,915.99/702.23
  6. Step 6: Final answer
    x = 793.07

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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.