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Finding the Fourth Proportional to 1,508.00, 2,262.02 and 412.48

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Solution

The fourth proportional to 1,508.00, 2,262.02 and 412.48 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.00 : 2,262.02 = 412.48 : x
  2. Step 2: Convert to fraction form
    1,508.00/2,262.02 = 412.48/x
  3. Step 3: Cross multiply
    1,508.00x = 2,262.02 × 412.48
  4. Step 4: Simplify right side
    1,508.00x = 933,030.29
  5. Step 5: Solve for x
    x = 933,030.29/1,508.00
  6. Step 6: Final answer
    x = 618.72

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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.