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Finding the Fourth Proportional to 1,314.10, 1,971.61 and 584.19

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Solution

The fourth proportional to 1,314.10, 1,971.61 and 584.19 is: 876.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.10 : 1,971.61 = 584.19 : x
  2. Step 2: Convert to fraction form
    1,314.10/1,971.61 = 584.19/x
  3. Step 3: Cross multiply
    1,314.10x = 1,971.61 × 584.19
  4. Step 4: Simplify right side
    1,314.10x = 1,151,793.39
  5. Step 5: Solve for x
    x = 1,151,793.39/1,314.10
  6. Step 6: Final answer
    x = 876.49

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1.5x scale

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.