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Finding the Fourth Proportional to 977.25, 1,348.53 and 535.14

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Solution

The fourth proportional to 977.25, 1,348.53 and 535.14 is: 738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.25 : 1,348.53 = 535.14 : x
  2. Step 2: Convert to fraction form
    977.25/1,348.53 = 535.14/x
  3. Step 3: Cross multiply
    977.25x = 1,348.53 × 535.14
  4. Step 4: Simplify right side
    977.25x = 721,652.34
  5. Step 5: Solve for x
    x = 721,652.34/977.25
  6. Step 6: Final answer
    x = 738.45

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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.