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Finding the Fourth Proportional to 1,065.24, 1,598.12 and 509.85

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Solution

The fourth proportional to 1,065.24, 1,598.12 and 509.85 is: 764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.24 : 1,598.12 = 509.85 : x
  2. Step 2: Convert to fraction form
    1,065.24/1,598.12 = 509.85/x
  3. Step 3: Cross multiply
    1,065.24x = 1,598.12 × 509.85
  4. Step 4: Simplify right side
    1,065.24x = 814,794.77
  5. Step 5: Solve for x
    x = 814,794.77/1,065.24
  6. Step 6: Final answer
    x = 764.90

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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.