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Finding the Fourth Proportional to 1,204.86, 1,807.52 and 383.34

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Solution

The fourth proportional to 1,204.86, 1,807.52 and 383.34 is: 575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.86 : 1,807.52 = 383.34 : x
  2. Step 2: Convert to fraction form
    1,204.86/1,807.52 = 383.34/x
  3. Step 3: Cross multiply
    1,204.86x = 1,807.52 × 383.34
  4. Step 4: Simplify right side
    1,204.86x = 692,894.72
  5. Step 5: Solve for x
    x = 692,894.72/1,204.86
  6. Step 6: Final answer
    x = 575.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.