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Finding the Fourth Proportional to 1,125.29, 1,689.48 and 777.77

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Solution

The fourth proportional to 1,125.29, 1,689.48 and 777.77 is: 1,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.29 : 1,689.48 = 777.77 : x
  2. Step 2: Convert to fraction form
    1,125.29/1,689.48 = 777.77/x
  3. Step 3: Cross multiply
    1,125.29x = 1,689.48 × 777.77
  4. Step 4: Simplify right side
    1,125.29x = 1,314,018.41
  5. Step 5: Solve for x
    x = 1,314,018.41/1,125.29
  6. Step 6: Final answer
    x = 1,167.72

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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.