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Finding the Fourth Proportional to 977.96, 1,349.76 and 730.52

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Solution

The fourth proportional to 977.96, 1,349.76 and 730.52 is: 1,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.96 : 1,349.76 = 730.52 : x
  2. Step 2: Convert to fraction form
    977.96/1,349.76 = 730.52/x
  3. Step 3: Cross multiply
    977.96x = 1,349.76 × 730.52
  4. Step 4: Simplify right side
    977.96x = 986,026.68
  5. Step 5: Solve for x
    x = 986,026.68/977.96
  6. Step 6: Final answer
    x = 1,008.25

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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.