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Finding the Fourth Proportional to 1,028.06, 1,543.02 and 508.46

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Solution

The fourth proportional to 1,028.06, 1,543.02 and 508.46 is: 763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.06 : 1,543.02 = 508.46 : x
  2. Step 2: Convert to fraction form
    1,028.06/1,543.02 = 508.46/x
  3. Step 3: Cross multiply
    1,028.06x = 1,543.02 × 508.46
  4. Step 4: Simplify right side
    1,028.06x = 784,563.95
  5. Step 5: Solve for x
    x = 784,563.95/1,028.06
  6. Step 6: Final answer
    x = 763.15

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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.