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Finding the Fourth Proportional to 1,534.75, 2,302.49 and 508.75

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Solution

The fourth proportional to 1,534.75, 2,302.49 and 508.75 is: 763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.75 : 2,302.49 = 508.75 : x
  2. Step 2: Convert to fraction form
    1,534.75/2,302.49 = 508.75/x
  3. Step 3: Cross multiply
    1,534.75x = 2,302.49 × 508.75
  4. Step 4: Simplify right side
    1,534.75x = 1,171,391.79
  5. Step 5: Solve for x
    x = 1,171,391.79/1,534.75
  6. Step 6: Final answer
    x = 763.25

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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.