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Finding the Fourth Proportional to 1,013.76, 1,513.44 and 977.76

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Solution

The fourth proportional to 1,013.76, 1,513.44 and 977.76 is: 1,459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.76 : 1,513.44 = 977.76 : x
  2. Step 2: Convert to fraction form
    1,013.76/1,513.44 = 977.76/x
  3. Step 3: Cross multiply
    1,013.76x = 1,513.44 × 977.76
  4. Step 4: Simplify right side
    1,013.76x = 1,479,781.09
  5. Step 5: Solve for x
    x = 1,479,781.09/1,013.76
  6. Step 6: Final answer
    x = 1,459.70

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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.