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Finding the Fourth Proportional to 1,572.23, 2,357.78 and 461.34

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Solution

The fourth proportional to 1,572.23, 2,357.78 and 461.34 is: 691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.23 : 2,357.78 = 461.34 : x
  2. Step 2: Convert to fraction form
    1,572.23/2,357.78 = 461.34/x
  3. Step 3: Cross multiply
    1,572.23x = 2,357.78 × 461.34
  4. Step 4: Simplify right side
    1,572.23x = 1,087,726.44
  5. Step 5: Solve for x
    x = 1,087,726.44/1,572.23
  6. Step 6: Final answer
    x = 691.84

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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.