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Finding the Fourth Proportional to 977.14, 1,463.66 and 457.58

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Solution

The fourth proportional to 977.14, 1,463.66 and 457.58 is: 685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.14 : 1,463.66 = 457.58 : x
  2. Step 2: Convert to fraction form
    977.14/1,463.66 = 457.58/x
  3. Step 3: Cross multiply
    977.14x = 1,463.66 × 457.58
  4. Step 4: Simplify right side
    977.14x = 669,741.54
  5. Step 5: Solve for x
    x = 669,741.54/977.14
  6. Step 6: Final answer
    x = 685.41

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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.