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Finding the Fourth Proportional to 977.46, 1,465.10 and 463.38

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Solution

The fourth proportional to 977.46, 1,465.10 and 463.38 is: 694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.46 : 1,465.10 = 463.38 : x
  2. Step 2: Convert to fraction form
    977.46/1,465.10 = 463.38/x
  3. Step 3: Cross multiply
    977.46x = 1,465.10 × 463.38
  4. Step 4: Simplify right side
    977.46x = 678,898.04
  5. Step 5: Solve for x
    x = 678,898.04/977.46
  6. Step 6: Final answer
    x = 694.55

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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.