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Finding the Fourth Proportional to 1,360.57, 1,877.64 and 771.11

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Solution

The fourth proportional to 1,360.57, 1,877.64 and 771.11 is: 1,064.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.57 : 1,877.64 = 771.11 : x
  2. Step 2: Convert to fraction form
    1,360.57/1,877.64 = 771.11/x
  3. Step 3: Cross multiply
    1,360.57x = 1,877.64 × 771.11
  4. Step 4: Simplify right side
    1,360.57x = 1,447,866.98
  5. Step 5: Solve for x
    x = 1,447,866.98/1,360.57
  6. Step 6: Final answer
    x = 1,064.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.