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Finding the Fourth Proportional to 948.76, 1,423.58 and 509.72

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Solution

The fourth proportional to 948.76, 1,423.58 and 509.72 is: 764.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.76 : 1,423.58 = 509.72 : x
  2. Step 2: Convert to fraction form
    948.76/1,423.58 = 509.72/x
  3. Step 3: Cross multiply
    948.76x = 1,423.58 × 509.72
  4. Step 4: Simplify right side
    948.76x = 725,627.20
  5. Step 5: Solve for x
    x = 725,627.20/948.76
  6. Step 6: Final answer
    x = 764.82

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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.