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Finding the Fourth Proportional to 1,065.80, 1,599.14 and 510.23

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Solution

The fourth proportional to 1,065.80, 1,599.14 and 510.23 is: 765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.80 : 1,599.14 = 510.23 : x
  2. Step 2: Convert to fraction form
    1,065.80/1,599.14 = 510.23/x
  3. Step 3: Cross multiply
    1,065.80x = 1,599.14 × 510.23
  4. Step 4: Simplify right side
    1,065.80x = 815,923.21
  5. Step 5: Solve for x
    x = 815,923.21/1,065.80
  6. Step 6: Final answer
    x = 765.55

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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.