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Finding the Fourth Proportional to 977.76, 1,466.91 and 457.74

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Solution

The fourth proportional to 977.76, 1,466.91 and 457.74 is: 686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.76 : 1,466.91 = 457.74 : x
  2. Step 2: Convert to fraction form
    977.76/1,466.91 = 457.74/x
  3. Step 3: Cross multiply
    977.76x = 1,466.91 × 457.74
  4. Step 4: Simplify right side
    977.76x = 671,463.38
  5. Step 5: Solve for x
    x = 671,463.38/977.76
  6. Step 6: Final answer
    x = 686.74

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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.