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Finding the Fourth Proportional to 832.17, 1,140.05 and 801.01

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Solution

The fourth proportional to 832.17, 1,140.05 and 801.01 is: 1,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.17 : 1,140.05 = 801.01 : x
  2. Step 2: Convert to fraction form
    832.17/1,140.05 = 801.01/x
  3. Step 3: Cross multiply
    832.17x = 1,140.05 × 801.01
  4. Step 4: Simplify right side
    832.17x = 913,189.59
  5. Step 5: Solve for x
    x = 913,189.59/832.17
  6. Step 6: Final answer
    x = 1,097.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.