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Finding the Fourth Proportional to 948.61, 1,422.61 and 400.65

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Solution

The fourth proportional to 948.61, 1,422.61 and 400.65 is: 600.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.61 : 1,422.61 = 400.65 : x
  2. Step 2: Convert to fraction form
    948.61/1,422.61 = 400.65/x
  3. Step 3: Cross multiply
    948.61x = 1,422.61 × 400.65
  4. Step 4: Simplify right side
    948.61x = 569,962.36
  5. Step 5: Solve for x
    x = 569,962.36/948.61
  6. Step 6: Final answer
    x = 600.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.