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Finding the Fourth Proportional to 1,166.86, 1,749.90 and 907.15

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Solution

The fourth proportional to 1,166.86, 1,749.90 and 907.15 is: 1,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.86 : 1,749.90 = 907.15 : x
  2. Step 2: Convert to fraction form
    1,166.86/1,749.90 = 907.15/x
  3. Step 3: Cross multiply
    1,166.86x = 1,749.90 × 907.15
  4. Step 4: Simplify right side
    1,166.86x = 1,587,424.09
  5. Step 5: Solve for x
    x = 1,587,424.09/1,166.86
  6. Step 6: Final answer
    x = 1,360.43

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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.