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Finding the Fourth Proportional to 948.60, 1,423.70 and 429.40

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Solution

The fourth proportional to 948.60, 1,423.70 and 429.40 is: 644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.60 : 1,423.70 = 429.40 : x
  2. Step 2: Convert to fraction form
    948.60/1,423.70 = 429.40/x
  3. Step 3: Cross multiply
    948.60x = 1,423.70 × 429.40
  4. Step 4: Simplify right side
    948.60x = 611,336.78
  5. Step 5: Solve for x
    x = 611,336.78/948.60
  6. Step 6: Final answer
    x = 644.46

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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.