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Finding the Fourth Proportional to 1,077.40, 1,616.65 and 460.94

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Solution

The fourth proportional to 1,077.40, 1,616.65 and 460.94 is: 691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.40 : 1,616.65 = 460.94 : x
  2. Step 2: Convert to fraction form
    1,077.40/1,616.65 = 460.94/x
  3. Step 3: Cross multiply
    1,077.40x = 1,616.65 × 460.94
  4. Step 4: Simplify right side
    1,077.40x = 745,179.81
  5. Step 5: Solve for x
    x = 745,179.81/1,077.40
  6. Step 6: Final answer
    x = 691.65

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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.