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Finding the Fourth Proportional to 977.23, 1,348.58 and 535.13

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Solution

The fourth proportional to 977.23, 1,348.58 and 535.13 is: 738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.23 : 1,348.58 = 535.13 : x
  2. Step 2: Convert to fraction form
    977.23/1,348.58 = 535.13/x
  3. Step 3: Cross multiply
    977.23x = 1,348.58 × 535.13
  4. Step 4: Simplify right side
    977.23x = 721,656.20
  5. Step 5: Solve for x
    x = 721,656.20/977.23
  6. Step 6: Final answer
    x = 738.47

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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.