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Finding the Fourth Proportional to 1,498.98, 2,246.95 and 574.30

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Solution

The fourth proportional to 1,498.98, 2,246.95 and 574.30 is: 860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.98 : 2,246.95 = 574.30 : x
  2. Step 2: Convert to fraction form
    1,498.98/2,246.95 = 574.30/x
  3. Step 3: Cross multiply
    1,498.98x = 2,246.95 × 574.30
  4. Step 4: Simplify right side
    1,498.98x = 1,290,423.39
  5. Step 5: Solve for x
    x = 1,290,423.39/1,498.98
  6. Step 6: Final answer
    x = 860.87

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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.