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Finding the Fourth Proportional to 1,088.30, 1,502.55 and 839.16

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Solution

The fourth proportional to 1,088.30, 1,502.55 and 839.16 is: 1,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.30 : 1,502.55 = 839.16 : x
  2. Step 2: Convert to fraction form
    1,088.30/1,502.55 = 839.16/x
  3. Step 3: Cross multiply
    1,088.30x = 1,502.55 × 839.16
  4. Step 4: Simplify right side
    1,088.30x = 1,260,879.86
  5. Step 5: Solve for x
    x = 1,260,879.86/1,088.30
  6. Step 6: Final answer
    x = 1,158.58

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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.