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Finding the Fourth Proportional to 1,065.25, 1,598.01 and 295.75

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Solution

The fourth proportional to 1,065.25, 1,598.01 and 295.75 is: 443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.25 : 1,598.01 = 295.75 : x
  2. Step 2: Convert to fraction form
    1,065.25/1,598.01 = 295.75/x
  3. Step 3: Cross multiply
    1,065.25x = 1,598.01 × 295.75
  4. Step 4: Simplify right side
    1,065.25x = 472,611.46
  5. Step 5: Solve for x
    x = 472,611.46/1,065.25
  6. Step 6: Final answer
    x = 443.66

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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.