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Finding the Fourth Proportional to 977.56, 1,465.89 and 566.82

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Solution

The fourth proportional to 977.56, 1,465.89 and 566.82 is: 849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.56 : 1,465.89 = 566.82 : x
  2. Step 2: Convert to fraction form
    977.56/1,465.89 = 566.82/x
  3. Step 3: Cross multiply
    977.56x = 1,465.89 × 566.82
  4. Step 4: Simplify right side
    977.56x = 830,885.61
  5. Step 5: Solve for x
    x = 830,885.61/977.56
  6. Step 6: Final answer
    x = 849.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.