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Finding the Fourth Proportional to 977.02, 1,348.29 and 534.93

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Solution

The fourth proportional to 977.02, 1,348.29 and 534.93 is: 738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.02 : 1,348.29 = 534.93 : x
  2. Step 2: Convert to fraction form
    977.02/1,348.29 = 534.93/x
  3. Step 3: Cross multiply
    977.02x = 1,348.29 × 534.93
  4. Step 4: Simplify right side
    977.02x = 721,240.77
  5. Step 5: Solve for x
    x = 721,240.77/977.02
  6. Step 6: Final answer
    x = 738.20

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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.