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Finding the Fourth Proportional to 847.10, 1,165.95 and 758.25

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Solution

The fourth proportional to 847.10, 1,165.95 and 758.25 is: 1,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.10 : 1,165.95 = 758.25 : x
  2. Step 2: Convert to fraction form
    847.10/1,165.95 = 758.25/x
  3. Step 3: Cross multiply
    847.10x = 1,165.95 × 758.25
  4. Step 4: Simplify right side
    847.10x = 884,081.59
  5. Step 5: Solve for x
    x = 884,081.59/847.10
  6. Step 6: Final answer
    x = 1,043.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.