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Finding the Fourth Proportional to 1,501.65, 2,251.88 and 564.30

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Solution

The fourth proportional to 1,501.65, 2,251.88 and 564.30 is: 846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.65 : 2,251.88 = 564.30 : x
  2. Step 2: Convert to fraction form
    1,501.65/2,251.88 = 564.30/x
  3. Step 3: Cross multiply
    1,501.65x = 2,251.88 × 564.30
  4. Step 4: Simplify right side
    1,501.65x = 1,270,726.04
  5. Step 5: Solve for x
    x = 1,270,726.04/1,501.65
  6. Step 6: Final answer
    x = 846.22

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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.