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Finding the Fourth Proportional to 1,204.86, 1,807.34 and 383.19

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Solution

The fourth proportional to 1,204.86, 1,807.34 and 383.19 is: 574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.86 : 1,807.34 = 383.19 : x
  2. Step 2: Convert to fraction form
    1,204.86/1,807.34 = 383.19/x
  3. Step 3: Cross multiply
    1,204.86x = 1,807.34 × 383.19
  4. Step 4: Simplify right side
    1,204.86x = 692,554.61
  5. Step 5: Solve for x
    x = 692,554.61/1,204.86
  6. Step 6: Final answer
    x = 574.80

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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.