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Finding the Fourth Proportional to 948.96, 1,425.33 and 584.46

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Solution

The fourth proportional to 948.96, 1,425.33 and 584.46 is: 877.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.96 : 1,425.33 = 584.46 : x
  2. Step 2: Convert to fraction form
    948.96/1,425.33 = 584.46/x
  3. Step 3: Cross multiply
    948.96x = 1,425.33 × 584.46
  4. Step 4: Simplify right side
    948.96x = 833,048.37
  5. Step 5: Solve for x
    x = 833,048.37/948.96
  6. Step 6: Final answer
    x = 877.85

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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.