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Finding the Fourth Proportional to 699.32, 1,047.62 and 374.24

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Solution

The fourth proportional to 699.32, 1,047.62 and 374.24 is: 560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.32 : 1,047.62 = 374.24 : x
  2. Step 2: Convert to fraction form
    699.32/1,047.62 = 374.24/x
  3. Step 3: Cross multiply
    699.32x = 1,047.62 × 374.24
  4. Step 4: Simplify right side
    699.32x = 392,061.31
  5. Step 5: Solve for x
    x = 392,061.31/699.32
  6. Step 6: Final answer
    x = 560.63

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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.