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Finding the Fourth Proportional to 1,026.95, 1,541.04 and 410.56

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Solution

The fourth proportional to 1,026.95, 1,541.04 and 410.56 is: 616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.95 : 1,541.04 = 410.56 : x
  2. Step 2: Convert to fraction form
    1,026.95/1,541.04 = 410.56/x
  3. Step 3: Cross multiply
    1,026.95x = 1,541.04 × 410.56
  4. Step 4: Simplify right side
    1,026.95x = 632,689.38
  5. Step 5: Solve for x
    x = 632,689.38/1,026.95
  6. Step 6: Final answer
    x = 616.09

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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.