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Finding the Fourth Proportional to 1,191.39, 1,785.71 and 497.93

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Solution

The fourth proportional to 1,191.39, 1,785.71 and 497.93 is: 746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.39 : 1,785.71 = 497.93 : x
  2. Step 2: Convert to fraction form
    1,191.39/1,785.71 = 497.93/x
  3. Step 3: Cross multiply
    1,191.39x = 1,785.71 × 497.93
  4. Step 4: Simplify right side
    1,191.39x = 889,155.36
  5. Step 5: Solve for x
    x = 889,155.36/1,191.39
  6. Step 6: Final answer
    x = 746.32

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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.