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Finding the Fourth Proportional to 977.15, 1,348.46 and 535.05

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Solution

The fourth proportional to 977.15, 1,348.46 and 535.05 is: 738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.15 : 1,348.46 = 535.05 : x
  2. Step 2: Convert to fraction form
    977.15/1,348.46 = 535.05/x
  3. Step 3: Cross multiply
    977.15x = 1,348.46 × 535.05
  4. Step 4: Simplify right side
    977.15x = 721,490.15
  5. Step 5: Solve for x
    x = 721,490.15/977.15
  6. Step 6: Final answer
    x = 738.37

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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.