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Finding the Fourth Proportional to 1,094.39, 1,641.73 and 400.93

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Solution

The fourth proportional to 1,094.39, 1,641.73 and 400.93 is: 601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.39 : 1,641.73 = 400.93 : x
  2. Step 2: Convert to fraction form
    1,094.39/1,641.73 = 400.93/x
  3. Step 3: Cross multiply
    1,094.39x = 1,641.73 × 400.93
  4. Step 4: Simplify right side
    1,094.39x = 658,218.81
  5. Step 5: Solve for x
    x = 658,218.81/1,094.39
  6. Step 6: Final answer
    x = 601.45

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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.