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Finding the Fourth Proportional to 1,143.06, 1,714.83 and 373.50

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Solution

The fourth proportional to 1,143.06, 1,714.83 and 373.50 is: 560.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.06 : 1,714.83 = 373.50 : x
  2. Step 2: Convert to fraction form
    1,143.06/1,714.83 = 373.50/x
  3. Step 3: Cross multiply
    1,143.06x = 1,714.83 × 373.50
  4. Step 4: Simplify right side
    1,143.06x = 640,489.01
  5. Step 5: Solve for x
    x = 640,489.01/1,143.06
  6. Step 6: Final answer
    x = 560.33

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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.