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Finding the Fourth Proportional to 1,337.06, 2,004.75 and 514.35

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Solution

The fourth proportional to 1,337.06, 2,004.75 and 514.35 is: 771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.06 : 2,004.75 = 514.35 : x
  2. Step 2: Convert to fraction form
    1,337.06/2,004.75 = 514.35/x
  3. Step 3: Cross multiply
    1,337.06x = 2,004.75 × 514.35
  4. Step 4: Simplify right side
    1,337.06x = 1,031,143.16
  5. Step 5: Solve for x
    x = 1,031,143.16/1,337.06
  6. Step 6: Final answer
    x = 771.20

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