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Finding the Fourth Proportional to 1,215.86, 1,823.88 and 732.02

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Solution

The fourth proportional to 1,215.86, 1,823.88 and 732.02 is: 1,098.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.86 : 1,823.88 = 732.02 : x
  2. Step 2: Convert to fraction form
    1,215.86/1,823.88 = 732.02/x
  3. Step 3: Cross multiply
    1,215.86x = 1,823.88 × 732.02
  4. Step 4: Simplify right side
    1,215.86x = 1,335,116.64
  5. Step 5: Solve for x
    x = 1,335,116.64/1,215.86
  6. Step 6: Final answer
    x = 1,098.08

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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.