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Finding the Fourth Proportional to 1,534.26, 2,302.06 and 508.26

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Solution

The fourth proportional to 1,534.26, 2,302.06 and 508.26 is: 762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.26 : 2,302.06 = 508.26 : x
  2. Step 2: Convert to fraction form
    1,534.26/2,302.06 = 508.26/x
  3. Step 3: Cross multiply
    1,534.26x = 2,302.06 × 508.26
  4. Step 4: Simplify right side
    1,534.26x = 1,170,045.02
  5. Step 5: Solve for x
    x = 1,170,045.02/1,534.26
  6. Step 6: Final answer
    x = 762.61

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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.