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Finding the Fourth Proportional to 1,594.49, 2,200.86 and 1,064.14

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Solution

The fourth proportional to 1,594.49, 2,200.86 and 1,064.14 is: 1,468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.49 : 2,200.86 = 1,064.14 : x
  2. Step 2: Convert to fraction form
    1,594.49/2,200.86 = 1,064.14/x
  3. Step 3: Cross multiply
    1,594.49x = 2,200.86 × 1,064.14
  4. Step 4: Simplify right side
    1,594.49x = 2,342,023.16
  5. Step 5: Solve for x
    x = 2,342,023.16/1,594.49
  6. Step 6: Final answer
    x = 1,468.82

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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.