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Finding the Fourth Proportional to 948.97, 1,423.45 and 786.32

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Solution

The fourth proportional to 948.97, 1,423.45 and 786.32 is: 1,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.97 : 1,423.45 = 786.32 : x
  2. Step 2: Convert to fraction form
    948.97/1,423.45 = 786.32/x
  3. Step 3: Cross multiply
    948.97x = 1,423.45 × 786.32
  4. Step 4: Simplify right side
    948.97x = 1,119,280.19
  5. Step 5: Solve for x
    x = 1,119,280.19/948.97
  6. Step 6: Final answer
    x = 1,179.46

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Double scale
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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.