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Finding the Fourth Proportional to 947.77, 1,307.89 and 549.37

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Solution

The fourth proportional to 947.77, 1,307.89 and 549.37 is: 758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.77 : 1,307.89 = 549.37 : x
  2. Step 2: Convert to fraction form
    947.77/1,307.89 = 549.37/x
  3. Step 3: Cross multiply
    947.77x = 1,307.89 × 549.37
  4. Step 4: Simplify right side
    947.77x = 718,515.53
  5. Step 5: Solve for x
    x = 718,515.53/947.77
  6. Step 6: Final answer
    x = 758.11

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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.