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Finding the Fourth Proportional to 948.32, 1,423.02 and 371.06

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Solution

The fourth proportional to 948.32, 1,423.02 and 371.06 is: 556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.32 : 1,423.02 = 371.06 : x
  2. Step 2: Convert to fraction form
    948.32/1,423.02 = 371.06/x
  3. Step 3: Cross multiply
    948.32x = 1,423.02 × 371.06
  4. Step 4: Simplify right side
    948.32x = 528,025.80
  5. Step 5: Solve for x
    x = 528,025.80/948.32
  6. Step 6: Final answer
    x = 556.80

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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.