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Finding the Fourth Proportional to 1,148.65, 1,722.96 and 282.96

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Solution

The fourth proportional to 1,148.65, 1,722.96 and 282.96 is: 424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.65 : 1,722.96 = 282.96 : x
  2. Step 2: Convert to fraction form
    1,148.65/1,722.96 = 282.96/x
  3. Step 3: Cross multiply
    1,148.65x = 1,722.96 × 282.96
  4. Step 4: Simplify right side
    1,148.65x = 487,528.76
  5. Step 5: Solve for x
    x = 487,528.76/1,148.65
  6. Step 6: Final answer
    x = 424.44

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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.