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Finding the Fourth Proportional to 947.79, 1,307.48 and 636.75

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Solution

The fourth proportional to 947.79, 1,307.48 and 636.75 is: 878.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.79 : 1,307.48 = 636.75 : x
  2. Step 2: Convert to fraction form
    947.79/1,307.48 = 636.75/x
  3. Step 3: Cross multiply
    947.79x = 1,307.48 × 636.75
  4. Step 4: Simplify right side
    947.79x = 832,534.71
  5. Step 5: Solve for x
    x = 832,534.71/947.79
  6. Step 6: Final answer
    x = 878.40

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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.