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Finding the Fourth Proportional to 755.14, 1,043.10 and 666.70

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Solution

The fourth proportional to 755.14, 1,043.10 and 666.70 is: 920.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.14 : 1,043.10 = 666.70 : x
  2. Step 2: Convert to fraction form
    755.14/1,043.10 = 666.70/x
  3. Step 3: Cross multiply
    755.14x = 1,043.10 × 666.70
  4. Step 4: Simplify right side
    755.14x = 695,434.77
  5. Step 5: Solve for x
    x = 695,434.77/755.14
  6. Step 6: Final answer
    x = 920.93

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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.