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Finding the Fourth Proportional to 1,148.66, 1,722.98 and 282.98

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Solution

The fourth proportional to 1,148.66, 1,722.98 and 282.98 is: 424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.66 : 1,722.98 = 282.98 : x
  2. Step 2: Convert to fraction form
    1,148.66/1,722.98 = 282.98/x
  3. Step 3: Cross multiply
    1,148.66x = 1,722.98 × 282.98
  4. Step 4: Simplify right side
    1,148.66x = 487,567.47
  5. Step 5: Solve for x
    x = 487,567.47/1,148.66
  6. Step 6: Final answer
    x = 424.47

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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.