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Finding the Fourth Proportional to 1,026.80, 1,536.54 and 591.84

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Solution

The fourth proportional to 1,026.80, 1,536.54 and 591.84 is: 885.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.80 : 1,536.54 = 591.84 : x
  2. Step 2: Convert to fraction form
    1,026.80/1,536.54 = 591.84/x
  3. Step 3: Cross multiply
    1,026.80x = 1,536.54 × 591.84
  4. Step 4: Simplify right side
    1,026.80x = 909,385.83
  5. Step 5: Solve for x
    x = 909,385.83/1,026.80
  6. Step 6: Final answer
    x = 885.65

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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.