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Finding the Fourth Proportional to 747.79, 1,031.50 and 581.74

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Solution

The fourth proportional to 747.79, 1,031.50 and 581.74 is: 802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.79 : 1,031.50 = 581.74 : x
  2. Step 2: Convert to fraction form
    747.79/1,031.50 = 581.74/x
  3. Step 3: Cross multiply
    747.79x = 1,031.50 × 581.74
  4. Step 4: Simplify right side
    747.79x = 600,062.96
  5. Step 5: Solve for x
    x = 600,062.96/747.79
  6. Step 6: Final answer
    x = 802.45

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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.