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Finding the Fourth Proportional to 1,088.85, 1,502.57 and 591.48

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Solution

The fourth proportional to 1,088.85, 1,502.57 and 591.48 is: 816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.85 : 1,502.57 = 591.48 : x
  2. Step 2: Convert to fraction form
    1,088.85/1,502.57 = 591.48/x
  3. Step 3: Cross multiply
    1,088.85x = 1,502.57 × 591.48
  4. Step 4: Simplify right side
    1,088.85x = 888,729.63
  5. Step 5: Solve for x
    x = 888,729.63/1,088.85
  6. Step 6: Final answer
    x = 816.21

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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.