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Finding the Fourth Proportional to 1,133.67, 1,564.02 and 691.41

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Solution

The fourth proportional to 1,133.67, 1,564.02 and 691.41 is: 953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.67 : 1,564.02 = 691.41 : x
  2. Step 2: Convert to fraction form
    1,133.67/1,564.02 = 691.41/x
  3. Step 3: Cross multiply
    1,133.67x = 1,564.02 × 691.41
  4. Step 4: Simplify right side
    1,133.67x = 1,081,379.07
  5. Step 5: Solve for x
    x = 1,081,379.07/1,133.67
  6. Step 6: Final answer
    x = 953.87

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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.