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Finding the Fourth Proportional to 1,023.70, 1,536.03 and 807.70

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Solution

The fourth proportional to 1,023.70, 1,536.03 and 807.70 is: 1,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.70 : 1,536.03 = 807.70 : x
  2. Step 2: Convert to fraction form
    1,023.70/1,536.03 = 807.70/x
  3. Step 3: Cross multiply
    1,023.70x = 1,536.03 × 807.70
  4. Step 4: Simplify right side
    1,023.70x = 1,240,651.43
  5. Step 5: Solve for x
    x = 1,240,651.43/1,023.70
  6. Step 6: Final answer
    x = 1,211.93

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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.