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Finding the Fourth Proportional to 977.34, 1,348.72 and 535.24

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Solution

The fourth proportional to 977.34, 1,348.72 and 535.24 is: 738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.34 : 1,348.72 = 535.24 : x
  2. Step 2: Convert to fraction form
    977.34/1,348.72 = 535.24/x
  3. Step 3: Cross multiply
    977.34x = 1,348.72 × 535.24
  4. Step 4: Simplify right side
    977.34x = 721,888.89
  5. Step 5: Solve for x
    x = 721,888.89/977.34
  6. Step 6: Final answer
    x = 738.63

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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.