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Finding the Fourth Proportional to 1,034.93, 1,551.35 and 514.13

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Solution

The fourth proportional to 1,034.93, 1,551.35 and 514.13 is: 770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.93 : 1,551.35 = 514.13 : x
  2. Step 2: Convert to fraction form
    1,034.93/1,551.35 = 514.13/x
  3. Step 3: Cross multiply
    1,034.93x = 1,551.35 × 514.13
  4. Step 4: Simplify right side
    1,034.93x = 797,585.25
  5. Step 5: Solve for x
    x = 797,585.25/1,034.93
  6. Step 6: Final answer
    x = 770.67

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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.