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Finding the Fourth Proportional to 1,089.06, 1,502.89 and 591.70

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Solution

The fourth proportional to 1,089.06, 1,502.89 and 591.70 is: 816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.06 : 1,502.89 = 591.70 : x
  2. Step 2: Convert to fraction form
    1,089.06/1,502.89 = 591.70/x
  3. Step 3: Cross multiply
    1,089.06x = 1,502.89 × 591.70
  4. Step 4: Simplify right side
    1,089.06x = 889,252.50
  5. Step 5: Solve for x
    x = 889,252.50/1,089.06
  6. Step 6: Final answer
    x = 816.54

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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.