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Finding the Fourth Proportional to 951.63, 1,313.33 and 578.70

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Solution

The fourth proportional to 951.63, 1,313.33 and 578.70 is: 798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.63 : 1,313.33 = 578.70 : x
  2. Step 2: Convert to fraction form
    951.63/1,313.33 = 578.70/x
  3. Step 3: Cross multiply
    951.63x = 1,313.33 × 578.70
  4. Step 4: Simplify right side
    951.63x = 760,021.18
  5. Step 5: Solve for x
    x = 760,021.18/951.63
  6. Step 6: Final answer
    x = 798.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.