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Finding the Fourth Proportional to 1,459.16, 2,188.74 and 811.16

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Solution

The fourth proportional to 1,459.16, 2,188.74 and 811.16 is: 1,216.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.16 : 2,188.74 = 811.16 : x
  2. Step 2: Convert to fraction form
    1,459.16/2,188.74 = 811.16/x
  3. Step 3: Cross multiply
    1,459.16x = 2,188.74 × 811.16
  4. Step 4: Simplify right side
    1,459.16x = 1,775,418.34
  5. Step 5: Solve for x
    x = 1,775,418.34/1,459.16
  6. Step 6: Final answer
    x = 1,216.74

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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.