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Finding the Fourth Proportional to 1,026.85, 1,539.91 and 410.77

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Solution

The fourth proportional to 1,026.85, 1,539.91 and 410.77 is: 616.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.85 : 1,539.91 = 410.77 : x
  2. Step 2: Convert to fraction form
    1,026.85/1,539.91 = 410.77/x
  3. Step 3: Cross multiply
    1,026.85x = 1,539.91 × 410.77
  4. Step 4: Simplify right side
    1,026.85x = 632,548.83
  5. Step 5: Solve for x
    x = 632,548.83/1,026.85
  6. Step 6: Final answer
    x = 616.01

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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.