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Finding the Fourth Proportional to 1,077.68, 1,605.72 and 962.64

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Solution

The fourth proportional to 1,077.68, 1,605.72 and 962.64 is: 1,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.68 : 1,605.72 = 962.64 : x
  2. Step 2: Convert to fraction form
    1,077.68/1,605.72 = 962.64/x
  3. Step 3: Cross multiply
    1,077.68x = 1,605.72 × 962.64
  4. Step 4: Simplify right side
    1,077.68x = 1,545,730.30
  5. Step 5: Solve for x
    x = 1,545,730.30/1,077.68
  6. Step 6: Final answer
    x = 1,434.31

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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.