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Finding the Fourth Proportional to 1,203.71, 1,805.76 and 510.38

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Solution

The fourth proportional to 1,203.71, 1,805.76 and 510.38 is: 765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.71 : 1,805.76 = 510.38 : x
  2. Step 2: Convert to fraction form
    1,203.71/1,805.76 = 510.38/x
  3. Step 3: Cross multiply
    1,203.71x = 1,805.76 × 510.38
  4. Step 4: Simplify right side
    1,203.71x = 921,630.25
  5. Step 5: Solve for x
    x = 921,630.25/1,203.71
  6. Step 6: Final answer
    x = 765.66

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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.