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Finding the Fourth Proportional to 1,064.95, 1,597.39 and 416.14

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Solution

The fourth proportional to 1,064.95, 1,597.39 and 416.14 is: 624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.95 : 1,597.39 = 416.14 : x
  2. Step 2: Convert to fraction form
    1,064.95/1,597.39 = 416.14/x
  3. Step 3: Cross multiply
    1,064.95x = 1,597.39 × 416.14
  4. Step 4: Simplify right side
    1,064.95x = 664,737.87
  5. Step 5: Solve for x
    x = 664,737.87/1,064.95
  6. Step 6: Final answer
    x = 624.20

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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.