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Finding the Fourth Proportional to 1,079.76, 1,612.05 and 977.70

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Solution

The fourth proportional to 1,079.76, 1,612.05 and 977.70 is: 1,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.76 : 1,612.05 = 977.70 : x
  2. Step 2: Convert to fraction form
    1,079.76/1,612.05 = 977.70/x
  3. Step 3: Cross multiply
    1,079.76x = 1,612.05 × 977.70
  4. Step 4: Simplify right side
    1,079.76x = 1,576,101.29
  5. Step 5: Solve for x
    x = 1,576,101.29/1,079.76
  6. Step 6: Final answer
    x = 1,459.68

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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.