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Finding the Fourth Proportional to 1,142.51, 1,713.75 and 276.83

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Solution

The fourth proportional to 1,142.51, 1,713.75 and 276.83 is: 415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.51 : 1,713.75 = 276.83 : x
  2. Step 2: Convert to fraction form
    1,142.51/1,713.75 = 276.83/x
  3. Step 3: Cross multiply
    1,142.51x = 1,713.75 × 276.83
  4. Step 4: Simplify right side
    1,142.51x = 474,411.74
  5. Step 5: Solve for x
    x = 474,411.74/1,142.51
  6. Step 6: Final answer
    x = 415.24

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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.