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Finding the Fourth Proportional to 1,089.07, 1,502.90 and 591.70

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Solution

The fourth proportional to 1,089.07, 1,502.90 and 591.70 is: 816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.07 : 1,502.90 = 591.70 : x
  2. Step 2: Convert to fraction form
    1,089.07/1,502.90 = 591.70/x
  3. Step 3: Cross multiply
    1,089.07x = 1,502.90 × 591.70
  4. Step 4: Simplify right side
    1,089.07x = 889,262.03
  5. Step 5: Solve for x
    x = 889,262.03/1,089.07
  6. Step 6: Final answer
    x = 816.53

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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.