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Finding the Fourth Proportional to 1,038.06, 1,556.46 and 517.46

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Solution

The fourth proportional to 1,038.06, 1,556.46 and 517.46 is: 775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.06 : 1,556.46 = 517.46 : x
  2. Step 2: Convert to fraction form
    1,038.06/1,556.46 = 517.46/x
  3. Step 3: Cross multiply
    1,038.06x = 1,556.46 × 517.46
  4. Step 4: Simplify right side
    1,038.06x = 805,398.01
  5. Step 5: Solve for x
    x = 805,398.01/1,038.06
  6. Step 6: Final answer
    x = 775.87

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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.