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Finding the Fourth Proportional to 947.54, 1,307.53 and 549.13

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Solution

The fourth proportional to 947.54, 1,307.53 and 549.13 is: 757.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.54 : 1,307.53 = 549.13 : x
  2. Step 2: Convert to fraction form
    947.54/1,307.53 = 549.13/x
  3. Step 3: Cross multiply
    947.54x = 1,307.53 × 549.13
  4. Step 4: Simplify right side
    947.54x = 718,003.95
  5. Step 5: Solve for x
    x = 718,003.95/947.54
  6. Step 6: Final answer
    x = 757.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.