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Finding the Fourth Proportional to 1,188.81, 1,774.05 and 1,044.84

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Solution

The fourth proportional to 1,188.81, 1,774.05 and 1,044.84 is: 1,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.81 : 1,774.05 = 1,044.84 : x
  2. Step 2: Convert to fraction form
    1,188.81/1,774.05 = 1,044.84/x
  3. Step 3: Cross multiply
    1,188.81x = 1,774.05 × 1,044.84
  4. Step 4: Simplify right side
    1,188.81x = 1,853,598.40
  5. Step 5: Solve for x
    x = 1,853,598.40/1,188.81
  6. Step 6: Final answer
    x = 1,559.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.