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Finding the Fourth Proportional to 1,148.81, 1,723.32 and 368.82

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Solution

The fourth proportional to 1,148.81, 1,723.32 and 368.82 is: 553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.81 : 1,723.32 = 368.82 : x
  2. Step 2: Convert to fraction form
    1,148.81/1,723.32 = 368.82/x
  3. Step 3: Cross multiply
    1,148.81x = 1,723.32 × 368.82
  4. Step 4: Simplify right side
    1,148.81x = 635,594.88
  5. Step 5: Solve for x
    x = 635,594.88/1,148.81
  6. Step 6: Final answer
    x = 553.27

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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.