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Finding the Fourth Proportional to 1,497.57, 2,245.57 and 675.14

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Solution

The fourth proportional to 1,497.57, 2,245.57 and 675.14 is: 1,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.57 : 2,245.57 = 675.14 : x
  2. Step 2: Convert to fraction form
    1,497.57/2,245.57 = 675.14/x
  3. Step 3: Cross multiply
    1,497.57x = 2,245.57 × 675.14
  4. Step 4: Simplify right side
    1,497.57x = 1,516,065.01
  5. Step 5: Solve for x
    x = 1,516,065.01/1,497.57
  6. Step 6: Final answer
    x = 1,012.35

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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.