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Finding the Fourth Proportional to 1,497.06, 2,244.03 and 509.55

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Solution

The fourth proportional to 1,497.06, 2,244.03 and 509.55 is: 763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.06 : 2,244.03 = 509.55 : x
  2. Step 2: Convert to fraction form
    1,497.06/2,244.03 = 509.55/x
  3. Step 3: Cross multiply
    1,497.06x = 2,244.03 × 509.55
  4. Step 4: Simplify right side
    1,497.06x = 1,143,445.49
  5. Step 5: Solve for x
    x = 1,143,445.49/1,497.06
  6. Step 6: Final answer
    x = 763.79

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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.