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Finding the Fourth Proportional to 1,503.82, 2,256.48 and 811.12

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Solution

The fourth proportional to 1,503.82, 2,256.48 and 811.12 is: 1,217.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.82 : 2,256.48 = 811.12 : x
  2. Step 2: Convert to fraction form
    1,503.82/2,256.48 = 811.12/x
  3. Step 3: Cross multiply
    1,503.82x = 2,256.48 × 811.12
  4. Step 4: Simplify right side
    1,503.82x = 1,830,276.06
  5. Step 5: Solve for x
    x = 1,830,276.06/1,503.82
  6. Step 6: Final answer
    x = 1,217.08

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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.