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Finding the Fourth Proportional to 977.18, 1,463.80 and 456.46

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Solution

The fourth proportional to 977.18, 1,463.80 and 456.46 is: 683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.18 : 1,463.80 = 456.46 : x
  2. Step 2: Convert to fraction form
    977.18/1,463.80 = 456.46/x
  3. Step 3: Cross multiply
    977.18x = 1,463.80 × 456.46
  4. Step 4: Simplify right side
    977.18x = 668,166.15
  5. Step 5: Solve for x
    x = 668,166.15/977.18
  6. Step 6: Final answer
    x = 683.77

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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.