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Finding the Fourth Proportional to 1,424.86, 1,966.40 and 865.35

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Solution

The fourth proportional to 1,424.86, 1,966.40 and 865.35 is: 1,194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.86 : 1,966.40 = 865.35 : x
  2. Step 2: Convert to fraction form
    1,424.86/1,966.40 = 865.35/x
  3. Step 3: Cross multiply
    1,424.86x = 1,966.40 × 865.35
  4. Step 4: Simplify right side
    1,424.86x = 1,701,624.24
  5. Step 5: Solve for x
    x = 1,701,624.24/1,424.86
  6. Step 6: Final answer
    x = 1,194.24

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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.