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Finding the Fourth Proportional to 1,070.54, 1,604.86 and 376.78

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Solution

The fourth proportional to 1,070.54, 1,604.86 and 376.78 is: 564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.54 : 1,604.86 = 376.78 : x
  2. Step 2: Convert to fraction form
    1,070.54/1,604.86 = 376.78/x
  3. Step 3: Cross multiply
    1,070.54x = 1,604.86 × 376.78
  4. Step 4: Simplify right side
    1,070.54x = 604,679.15
  5. Step 5: Solve for x
    x = 604,679.15/1,070.54
  6. Step 6: Final answer
    x = 564.84

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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.