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Finding the Fourth Proportional to 1,501.13, 2,252.05 and 475.13

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Solution

The fourth proportional to 1,501.13, 2,252.05 and 475.13 is: 712.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.13 : 2,252.05 = 475.13 : x
  2. Step 2: Convert to fraction form
    1,501.13/2,252.05 = 475.13/x
  3. Step 3: Cross multiply
    1,501.13x = 2,252.05 × 475.13
  4. Step 4: Simplify right side
    1,501.13x = 1,070,005.26
  5. Step 5: Solve for x
    x = 1,070,005.26/1,501.13
  6. Step 6: Final answer
    x = 712.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.