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Finding the Fourth Proportional to 947.35, 1,307.41 and 549.13

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Solution

The fourth proportional to 947.35, 1,307.41 and 549.13 is: 757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.35 : 1,307.41 = 549.13 : x
  2. Step 2: Convert to fraction form
    947.35/1,307.41 = 549.13/x
  3. Step 3: Cross multiply
    947.35x = 1,307.41 × 549.13
  4. Step 4: Simplify right side
    947.35x = 717,935.86
  5. Step 5: Solve for x
    x = 717,935.86/947.35
  6. Step 6: Final answer
    x = 757.84

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