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Finding the Fourth Proportional to 1,148.04, 1,722.04 and 282.36

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Solution

The fourth proportional to 1,148.04, 1,722.04 and 282.36 is: 423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.04 : 1,722.04 = 282.36 : x
  2. Step 2: Convert to fraction form
    1,148.04/1,722.04 = 282.36/x
  3. Step 3: Cross multiply
    1,148.04x = 1,722.04 × 282.36
  4. Step 4: Simplify right side
    1,148.04x = 486,225.90
  5. Step 5: Solve for x
    x = 486,225.90/1,148.04
  6. Step 6: Final answer
    x = 423.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.