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Finding the Fourth Proportional to 747.47, 1,031.50 and 485.93

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Solution

The fourth proportional to 747.47, 1,031.50 and 485.93 is: 670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.47 : 1,031.50 = 485.93 : x
  2. Step 2: Convert to fraction form
    747.47/1,031.50 = 485.93/x
  3. Step 3: Cross multiply
    747.47x = 1,031.50 × 485.93
  4. Step 4: Simplify right side
    747.47x = 501,236.80
  5. Step 5: Solve for x
    x = 501,236.80/747.47
  6. Step 6: Final answer
    x = 670.58

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