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Finding the Fourth Proportional to 747.65, 1,031.88 and 623.12

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Solution

The fourth proportional to 747.65, 1,031.88 and 623.12 is: 860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.65 : 1,031.88 = 623.12 : x
  2. Step 2: Convert to fraction form
    747.65/1,031.88 = 623.12/x
  3. Step 3: Cross multiply
    747.65x = 1,031.88 × 623.12
  4. Step 4: Simplify right side
    747.65x = 642,982.24
  5. Step 5: Solve for x
    x = 642,982.24/747.65
  6. Step 6: Final answer
    x = 860.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.