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Finding the Fourth Proportional to 1,207.89, 1,810.71 and 549.63

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Solution

The fourth proportional to 1,207.89, 1,810.71 and 549.63 is: 823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.89 : 1,810.71 = 549.63 : x
  2. Step 2: Convert to fraction form
    1,207.89/1,810.71 = 549.63/x
  3. Step 3: Cross multiply
    1,207.89x = 1,810.71 × 549.63
  4. Step 4: Simplify right side
    1,207.89x = 995,220.54
  5. Step 5: Solve for x
    x = 995,220.54/1,207.89
  6. Step 6: Final answer
    x = 823.93

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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.