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Finding the Fourth Proportional to 1,026, 1,534.77 and 775.80

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Solution

The fourth proportional to 1,026, 1,534.77 and 775.80 is: 1,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026 : 1,534.77 = 775.80 : x
  2. Step 2: Convert to fraction form
    1,026/1,534.77 = 775.80/x
  3. Step 3: Cross multiply
    1,026x = 1,534.77 × 775.80
  4. Step 4: Simplify right side
    1,026x = 1,190,674.57
  5. Step 5: Solve for x
    x = 1,190,674.57/1,026
  6. Step 6: Final answer
    x = 1,160.50

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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.