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Finding the Fourth Proportional to 1,326.18, 1,988.46 and 594.75

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Solution

The fourth proportional to 1,326.18, 1,988.46 and 594.75 is: 891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.18 : 1,988.46 = 594.75 : x
  2. Step 2: Convert to fraction form
    1,326.18/1,988.46 = 594.75/x
  3. Step 3: Cross multiply
    1,326.18x = 1,988.46 × 594.75
  4. Step 4: Simplify right side
    1,326.18x = 1,182,636.59
  5. Step 5: Solve for x
    x = 1,182,636.59/1,326.18
  6. Step 6: Final answer
    x = 891.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.