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Finding the Fourth Proportional to 1,057.97, 1,587.06 and 364.55

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Solution

The fourth proportional to 1,057.97, 1,587.06 and 364.55 is: 546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.97 : 1,587.06 = 364.55 : x
  2. Step 2: Convert to fraction form
    1,057.97/1,587.06 = 364.55/x
  3. Step 3: Cross multiply
    1,057.97x = 1,587.06 × 364.55
  4. Step 4: Simplify right side
    1,057.97x = 578,554.79
  5. Step 5: Solve for x
    x = 578,554.79/1,057.97
  6. Step 6: Final answer
    x = 546.85

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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.