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Finding the Fourth Proportional to 1,069.93, 1,604.71 and 377.11

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Solution

The fourth proportional to 1,069.93, 1,604.71 and 377.11 is: 565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.93 : 1,604.71 = 377.11 : x
  2. Step 2: Convert to fraction form
    1,069.93/1,604.71 = 377.11/x
  3. Step 3: Cross multiply
    1,069.93x = 1,604.71 × 377.11
  4. Step 4: Simplify right side
    1,069.93x = 605,152.19
  5. Step 5: Solve for x
    x = 605,152.19/1,069.93
  6. Step 6: Final answer
    x = 565.60

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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.