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Finding the Fourth Proportional to 1,002.03, 1,501.65 and 514.05

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Solution

The fourth proportional to 1,002.03, 1,501.65 and 514.05 is: 770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.03 : 1,501.65 = 514.05 : x
  2. Step 2: Convert to fraction form
    1,002.03/1,501.65 = 514.05/x
  3. Step 3: Cross multiply
    1,002.03x = 1,501.65 × 514.05
  4. Step 4: Simplify right side
    1,002.03x = 771,923.18
  5. Step 5: Solve for x
    x = 771,923.18/1,002.03
  6. Step 6: Final answer
    x = 770.36

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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.