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Finding the Fourth Proportional to 948.16, 1,422.24 and 583.12

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Solution

The fourth proportional to 948.16, 1,422.24 and 583.12 is: 874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.16 : 1,422.24 = 583.12 : x
  2. Step 2: Convert to fraction form
    948.16/1,422.24 = 583.12/x
  3. Step 3: Cross multiply
    948.16x = 1,422.24 × 583.12
  4. Step 4: Simplify right side
    948.16x = 829,336.59
  5. Step 5: Solve for x
    x = 829,336.59/948.16
  6. Step 6: Final answer
    x = 874.68

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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.