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Finding the Fourth Proportional to 1,466.84, 2,024.28 and 803.76

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Solution

The fourth proportional to 1,466.84, 2,024.28 and 803.76 is: 1,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.84 : 2,024.28 = 803.76 : x
  2. Step 2: Convert to fraction form
    1,466.84/2,024.28 = 803.76/x
  3. Step 3: Cross multiply
    1,466.84x = 2,024.28 × 803.76
  4. Step 4: Simplify right side
    1,466.84x = 1,627,035.29
  5. Step 5: Solve for x
    x = 1,627,035.29/1,466.84
  6. Step 6: Final answer
    x = 1,109.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.