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Finding the Fourth Proportional to 1,049.97, 1,574.58 and 347.05

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Solution

The fourth proportional to 1,049.97, 1,574.58 and 347.05 is: 520.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.97 : 1,574.58 = 347.05 : x
  2. Step 2: Convert to fraction form
    1,049.97/1,574.58 = 347.05/x
  3. Step 3: Cross multiply
    1,049.97x = 1,574.58 × 347.05
  4. Step 4: Simplify right side
    1,049.97x = 546,455.22
  5. Step 5: Solve for x
    x = 546,455.22/1,049.97
  6. Step 6: Final answer
    x = 520.45

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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.