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Finding the Fourth Proportional to 947.63, 1,307.95 and 615.48

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Solution

The fourth proportional to 947.63, 1,307.95 and 615.48 is: 849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.63 : 1,307.95 = 615.48 : x
  2. Step 2: Convert to fraction form
    947.63/1,307.95 = 615.48/x
  3. Step 3: Cross multiply
    947.63x = 1,307.95 × 615.48
  4. Step 4: Simplify right side
    947.63x = 805,015.53
  5. Step 5: Solve for x
    x = 805,015.53/947.63
  6. Step 6: Final answer
    x = 849.50

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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.