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Finding the Fourth Proportional to 880.96, 1,310.60 and 846.40

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Solution

The fourth proportional to 880.96, 1,310.60 and 846.40 is: 1,259.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.96 : 1,310.60 = 846.40 : x
  2. Step 2: Convert to fraction form
    880.96/1,310.60 = 846.40/x
  3. Step 3: Cross multiply
    880.96x = 1,310.60 × 846.40
  4. Step 4: Simplify right side
    880.96x = 1,109,291.84
  5. Step 5: Solve for x
    x = 1,109,291.84/880.96
  6. Step 6: Final answer
    x = 1,259.19

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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.