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Finding the Fourth Proportional to 981.96, 1,462.04 and 977.10

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Solution

The fourth proportional to 981.96, 1,462.04 and 977.10 is: 1,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.96 : 1,462.04 = 977.10 : x
  2. Step 2: Convert to fraction form
    981.96/1,462.04 = 977.10/x
  3. Step 3: Cross multiply
    981.96x = 1,462.04 × 977.10
  4. Step 4: Simplify right side
    981.96x = 1,428,554.40
  5. Step 5: Solve for x
    x = 1,428,554.40/981.96
  6. Step 6: Final answer
    x = 1,454.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.