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Finding the Fourth Proportional to 977.57, 1,467.02 and 566.13

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Solution

The fourth proportional to 977.57, 1,467.02 and 566.13 is: 849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.57 : 1,467.02 = 566.13 : x
  2. Step 2: Convert to fraction form
    977.57/1,467.02 = 566.13/x
  3. Step 3: Cross multiply
    977.57x = 1,467.02 × 566.13
  4. Step 4: Simplify right side
    977.57x = 830,521.20
  5. Step 5: Solve for x
    x = 830,521.20/977.57
  6. Step 6: Final answer
    x = 849.58

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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.