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Finding the Fourth Proportional to 1,114.36, 1,669.84 and 565.72

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Solution

The fourth proportional to 1,114.36, 1,669.84 and 565.72 is: 847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.36 : 1,669.84 = 565.72 : x
  2. Step 2: Convert to fraction form
    1,114.36/1,669.84 = 565.72/x
  3. Step 3: Cross multiply
    1,114.36x = 1,669.84 × 565.72
  4. Step 4: Simplify right side
    1,114.36x = 944,661.88
  5. Step 5: Solve for x
    x = 944,661.88/1,114.36
  6. Step 6: Final answer
    x = 847.72

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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.