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Finding the Fourth Proportional to 877.47, 1,211.52 and 546

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Solution

The fourth proportional to 877.47, 1,211.52 and 546 is: 753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.47 : 1,211.52 = 546 : x
  2. Step 2: Convert to fraction form
    877.47/1,211.52 = 546/x
  3. Step 3: Cross multiply
    877.47x = 1,211.52 × 546
  4. Step 4: Simplify right side
    877.47x = 661,489.92
  5. Step 5: Solve for x
    x = 661,489.92/877.47
  6. Step 6: Final answer
    x = 753.86

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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.