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Finding the Fourth Proportional to 1,332.17, 1,837.76 and 859.85

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Solution

The fourth proportional to 1,332.17, 1,837.76 and 859.85 is: 1,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.17 : 1,837.76 = 859.85 : x
  2. Step 2: Convert to fraction form
    1,332.17/1,837.76 = 859.85/x
  3. Step 3: Cross multiply
    1,332.17x = 1,837.76 × 859.85
  4. Step 4: Simplify right side
    1,332.17x = 1,580,184.45
  5. Step 5: Solve for x
    x = 1,580,184.45/1,332.17
  6. Step 6: Final answer
    x = 1,186.18

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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.