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Finding the Fourth Proportional to 947.91, 1,307.84 and 916.59

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Solution

The fourth proportional to 947.91, 1,307.84 and 916.59 is: 1,264.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.91 : 1,307.84 = 916.59 : x
  2. Step 2: Convert to fraction form
    947.91/1,307.84 = 916.59/x
  3. Step 3: Cross multiply
    947.91x = 1,307.84 × 916.59
  4. Step 4: Simplify right side
    947.91x = 1,198,748.48
  5. Step 5: Solve for x
    x = 1,198,748.48/947.91
  6. Step 6: Final answer
    x = 1,264.62

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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.