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Finding the Fourth Proportional to 1,079.96, 1,616.88 and 977.44

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Solution

The fourth proportional to 1,079.96, 1,616.88 and 977.44 is: 1,463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.96 : 1,616.88 = 977.44 : x
  2. Step 2: Convert to fraction form
    1,079.96/1,616.88 = 977.44/x
  3. Step 3: Cross multiply
    1,079.96x = 1,616.88 × 977.44
  4. Step 4: Simplify right side
    1,079.96x = 1,580,403.19
  5. Step 5: Solve for x
    x = 1,580,403.19/1,079.96
  6. Step 6: Final answer
    x = 1,463.39

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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.