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Finding the Fourth Proportional to 977.52, 1,348.95 and 546.35

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Solution

The fourth proportional to 977.52, 1,348.95 and 546.35 is: 753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.52 : 1,348.95 = 546.35 : x
  2. Step 2: Convert to fraction form
    977.52/1,348.95 = 546.35/x
  3. Step 3: Cross multiply
    977.52x = 1,348.95 × 546.35
  4. Step 4: Simplify right side
    977.52x = 736,996.83
  5. Step 5: Solve for x
    x = 736,996.83/977.52
  6. Step 6: Final answer
    x = 753.95

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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.