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Finding the Fourth Proportional to 1,225.10, 1,837.62 and 576.28

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Solution

The fourth proportional to 1,225.10, 1,837.62 and 576.28 is: 864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.10 : 1,837.62 = 576.28 : x
  2. Step 2: Convert to fraction form
    1,225.10/1,837.62 = 576.28/x
  3. Step 3: Cross multiply
    1,225.10x = 1,837.62 × 576.28
  4. Step 4: Simplify right side
    1,225.10x = 1,058,983.65
  5. Step 5: Solve for x
    x = 1,058,983.65/1,225.10
  6. Step 6: Final answer
    x = 864.41

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1.5x scale

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.