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Finding the Fourth Proportional to 977.52, 1,466.28 and 592.68

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Solution

The fourth proportional to 977.52, 1,466.28 and 592.68 is: 889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.52 : 1,466.28 = 592.68 : x
  2. Step 2: Convert to fraction form
    977.52/1,466.28 = 592.68/x
  3. Step 3: Cross multiply
    977.52x = 1,466.28 × 592.68
  4. Step 4: Simplify right side
    977.52x = 869,034.83
  5. Step 5: Solve for x
    x = 869,034.83/977.52
  6. Step 6: Final answer
    x = 889.02

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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.