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Finding the Fourth Proportional to 1,148.50, 1,722.75 and 282.81

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Solution

The fourth proportional to 1,148.50, 1,722.75 and 282.81 is: 424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.50 : 1,722.75 = 282.81 : x
  2. Step 2: Convert to fraction form
    1,148.50/1,722.75 = 282.81/x
  3. Step 3: Cross multiply
    1,148.50x = 1,722.75 × 282.81
  4. Step 4: Simplify right side
    1,148.50x = 487,210.93
  5. Step 5: Solve for x
    x = 487,210.93/1,148.50
  6. Step 6: Final answer
    x = 424.22

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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.