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Finding the Fourth Proportional to 1,143.04, 1,710.64 and 836.86

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Solution

The fourth proportional to 1,143.04, 1,710.64 and 836.86 is: 1,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.04 : 1,710.64 = 836.86 : x
  2. Step 2: Convert to fraction form
    1,143.04/1,710.64 = 836.86/x
  3. Step 3: Cross multiply
    1,143.04x = 1,710.64 × 836.86
  4. Step 4: Simplify right side
    1,143.04x = 1,431,566.19
  5. Step 5: Solve for x
    x = 1,431,566.19/1,143.04
  6. Step 6: Final answer
    x = 1,252.42

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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.