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Finding the Fourth Proportional to 1,148.45, 1,722.67 and 282.75

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Solution

The fourth proportional to 1,148.45, 1,722.67 and 282.75 is: 424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.45 : 1,722.67 = 282.75 : x
  2. Step 2: Convert to fraction form
    1,148.45/1,722.67 = 282.75/x
  3. Step 3: Cross multiply
    1,148.45x = 1,722.67 × 282.75
  4. Step 4: Simplify right side
    1,148.45x = 487,084.94
  5. Step 5: Solve for x
    x = 487,084.94/1,148.45
  6. Step 6: Final answer
    x = 424.12

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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.