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Finding the Fourth Proportional to 1,089.23, 1,503.14 and 591.87

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Solution

The fourth proportional to 1,089.23, 1,503.14 and 591.87 is: 816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.23 : 1,503.14 = 591.87 : x
  2. Step 2: Convert to fraction form
    1,089.23/1,503.14 = 591.87/x
  3. Step 3: Cross multiply
    1,089.23x = 1,503.14 × 591.87
  4. Step 4: Simplify right side
    1,089.23x = 889,670.59
  5. Step 5: Solve for x
    x = 889,670.59/1,089.23
  6. Step 6: Final answer
    x = 816.79

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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.