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Finding the Fourth Proportional to 977.96, 1,466.13 and 457.69

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Solution

The fourth proportional to 977.96, 1,466.13 and 457.69 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.96 : 1,466.13 = 457.69 : x
  2. Step 2: Convert to fraction form
    977.96/1,466.13 = 457.69/x
  3. Step 3: Cross multiply
    977.96x = 1,466.13 × 457.69
  4. Step 4: Simplify right side
    977.96x = 671,033.04
  5. Step 5: Solve for x
    x = 671,033.04/977.96
  6. Step 6: Final answer
    x = 686.15

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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.