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Finding the Fourth Proportional to 1,349.66, 2,024.49 and 375.77

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Solution

The fourth proportional to 1,349.66, 2,024.49 and 375.77 is: 563.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.66 : 2,024.49 = 375.77 : x
  2. Step 2: Convert to fraction form
    1,349.66/2,024.49 = 375.77/x
  3. Step 3: Cross multiply
    1,349.66x = 2,024.49 × 375.77
  4. Step 4: Simplify right side
    1,349.66x = 760,742.61
  5. Step 5: Solve for x
    x = 760,742.61/1,349.66
  6. Step 6: Final answer
    x = 563.66

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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.