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Finding the Fourth Proportional to 948.55, 1,423.14 and 509.62

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Solution

The fourth proportional to 948.55, 1,423.14 and 509.62 is: 764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.55 : 1,423.14 = 509.62 : x
  2. Step 2: Convert to fraction form
    948.55/1,423.14 = 509.62/x
  3. Step 3: Cross multiply
    948.55x = 1,423.14 × 509.62
  4. Step 4: Simplify right side
    948.55x = 725,260.61
  5. Step 5: Solve for x
    x = 725,260.61/948.55
  6. Step 6: Final answer
    x = 764.60

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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.