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Finding the Fourth Proportional to 950.63, 1,416.93 and 880.49

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Solution

The fourth proportional to 950.63, 1,416.93 and 880.49 is: 1,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.63 : 1,416.93 = 880.49 : x
  2. Step 2: Convert to fraction form
    950.63/1,416.93 = 880.49/x
  3. Step 3: Cross multiply
    950.63x = 1,416.93 × 880.49
  4. Step 4: Simplify right side
    950.63x = 1,247,585.61
  5. Step 5: Solve for x
    x = 1,247,585.61/950.63
  6. Step 6: Final answer
    x = 1,312.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.