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Finding the Fourth Proportional to 758.37, 1,141.76 and 594.71

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Solution

The fourth proportional to 758.37, 1,141.76 and 594.71 is: 895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.37 : 1,141.76 = 594.71 : x
  2. Step 2: Convert to fraction form
    758.37/1,141.76 = 594.71/x
  3. Step 3: Cross multiply
    758.37x = 1,141.76 × 594.71
  4. Step 4: Simplify right side
    758.37x = 679,016.09
  5. Step 5: Solve for x
    x = 679,016.09/758.37
  6. Step 6: Final answer
    x = 895.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.