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Finding the Fourth Proportional to 948.27, 1,307.66 and 653.61

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Solution

The fourth proportional to 948.27, 1,307.66 and 653.61 is: 901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.27 : 1,307.66 = 653.61 : x
  2. Step 2: Convert to fraction form
    948.27/1,307.66 = 653.61/x
  3. Step 3: Cross multiply
    948.27x = 1,307.66 × 653.61
  4. Step 4: Simplify right side
    948.27x = 854,696.38
  5. Step 5: Solve for x
    x = 854,696.38/948.27
  6. Step 6: Final answer
    x = 901.32

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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.