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Finding the Fourth Proportional to 1,433.66, 2,151.10 and 783.63

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Solution

The fourth proportional to 1,433.66, 2,151.10 and 783.63 is: 1,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.66 : 2,151.10 = 783.63 : x
  2. Step 2: Convert to fraction form
    1,433.66/2,151.10 = 783.63/x
  3. Step 3: Cross multiply
    1,433.66x = 2,151.10 × 783.63
  4. Step 4: Simplify right side
    1,433.66x = 1,685,671.13
  5. Step 5: Solve for x
    x = 1,685,671.13/1,433.66
  6. Step 6: Final answer
    x = 1,175.78

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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.