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Finding the Fourth Proportional to 1,549.47, 2,323.08 and 509.13

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Solution

The fourth proportional to 1,549.47, 2,323.08 and 509.13 is: 763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.47 : 2,323.08 = 509.13 : x
  2. Step 2: Convert to fraction form
    1,549.47/2,323.08 = 509.13/x
  3. Step 3: Cross multiply
    1,549.47x = 2,323.08 × 509.13
  4. Step 4: Simplify right side
    1,549.47x = 1,182,749.72
  5. Step 5: Solve for x
    x = 1,182,749.72/1,549.47
  6. Step 6: Final answer
    x = 763.33

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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.