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Finding the Fourth Proportional to 1,026.70, 1,539.30 and 410.10

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Solution

The fourth proportional to 1,026.70, 1,539.30 and 410.10 is: 614.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.70 : 1,539.30 = 410.10 : x
  2. Step 2: Convert to fraction form
    1,026.70/1,539.30 = 410.10/x
  3. Step 3: Cross multiply
    1,026.70x = 1,539.30 × 410.10
  4. Step 4: Simplify right side
    1,026.70x = 631,266.93
  5. Step 5: Solve for x
    x = 631,266.93/1,026.70
  6. Step 6: Final answer
    x = 614.85

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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.