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Finding the Fourth Proportional to 1,162.01, 1,743.63 and 468.75

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Solution

The fourth proportional to 1,162.01, 1,743.63 and 468.75 is: 703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.01 : 1,743.63 = 468.75 : x
  2. Step 2: Convert to fraction form
    1,162.01/1,743.63 = 468.75/x
  3. Step 3: Cross multiply
    1,162.01x = 1,743.63 × 468.75
  4. Step 4: Simplify right side
    1,162.01x = 817,331.34
  5. Step 5: Solve for x
    x = 817,331.34/1,162.01
  6. Step 6: Final answer
    x = 703.38

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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.