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Finding the Fourth Proportional to 1,771.16, 2,655.78 and 538.34

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Solution

The fourth proportional to 1,771.16, 2,655.78 and 538.34 is: 807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.16 : 2,655.78 = 538.34 : x
  2. Step 2: Convert to fraction form
    1,771.16/2,655.78 = 538.34/x
  3. Step 3: Cross multiply
    1,771.16x = 2,655.78 × 538.34
  4. Step 4: Simplify right side
    1,771.16x = 1,429,712.61
  5. Step 5: Solve for x
    x = 1,429,712.61/1,771.16
  6. Step 6: Final answer
    x = 807.22

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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.