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Finding the Fourth Proportional to 1,188.24, 1,782.36 and 322.55

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Solution

The fourth proportional to 1,188.24, 1,782.36 and 322.55 is: 483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.24 : 1,782.36 = 322.55 : x
  2. Step 2: Convert to fraction form
    1,188.24/1,782.36 = 322.55/x
  3. Step 3: Cross multiply
    1,188.24x = 1,782.36 × 322.55
  4. Step 4: Simplify right side
    1,188.24x = 574,898.61
  5. Step 5: Solve for x
    x = 574,898.61/1,188.24
  6. Step 6: Final answer
    x = 483.82

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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.