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Finding the Fourth Proportional to 1,442.77, 2,164.35 and 565.11

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Solution

The fourth proportional to 1,442.77, 2,164.35 and 565.11 is: 847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.77 : 2,164.35 = 565.11 : x
  2. Step 2: Convert to fraction form
    1,442.77/2,164.35 = 565.11/x
  3. Step 3: Cross multiply
    1,442.77x = 2,164.35 × 565.11
  4. Step 4: Simplify right side
    1,442.77x = 1,223,095.83
  5. Step 5: Solve for x
    x = 1,223,095.83/1,442.77
  6. Step 6: Final answer
    x = 847.74

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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.