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Finding the Fourth Proportional to 1,130.43, 1,695.63 and 514.02

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Solution

The fourth proportional to 1,130.43, 1,695.63 and 514.02 is: 771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.43 : 1,695.63 = 514.02 : x
  2. Step 2: Convert to fraction form
    1,130.43/1,695.63 = 514.02/x
  3. Step 3: Cross multiply
    1,130.43x = 1,695.63 × 514.02
  4. Step 4: Simplify right side
    1,130.43x = 871,587.73
  5. Step 5: Solve for x
    x = 871,587.73/1,130.43
  6. Step 6: Final answer
    x = 771.02

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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.