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Finding the Fourth Proportional to 1,062.97, 1,468.02 and 947.02

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Solution

The fourth proportional to 1,062.97, 1,468.02 and 947.02 is: 1,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.97 : 1,468.02 = 947.02 : x
  2. Step 2: Convert to fraction form
    1,062.97/1,468.02 = 947.02/x
  3. Step 3: Cross multiply
    1,062.97x = 1,468.02 × 947.02
  4. Step 4: Simplify right side
    1,062.97x = 1,390,242.81
  5. Step 5: Solve for x
    x = 1,390,242.81/1,062.97
  6. Step 6: Final answer
    x = 1,307.88

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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.