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Finding the Fourth Proportional to 1,049.40, 1,574.10 and 355.95

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Solution

The fourth proportional to 1,049.40, 1,574.10 and 355.95 is: 533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.40 : 1,574.10 = 355.95 : x
  2. Step 2: Convert to fraction form
    1,049.40/1,574.10 = 355.95/x
  3. Step 3: Cross multiply
    1,049.40x = 1,574.10 × 355.95
  4. Step 4: Simplify right side
    1,049.40x = 560,300.90
  5. Step 5: Solve for x
    x = 560,300.90/1,049.40
  6. Step 6: Final answer
    x = 533.93

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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.