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Finding the Fourth Proportional to 1,065.94, 1,599.82 and 417.13

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Solution

The fourth proportional to 1,065.94, 1,599.82 and 417.13 is: 626.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.94 : 1,599.82 = 417.13 : x
  2. Step 2: Convert to fraction form
    1,065.94/1,599.82 = 417.13/x
  3. Step 3: Cross multiply
    1,065.94x = 1,599.82 × 417.13
  4. Step 4: Simplify right side
    1,065.94x = 667,327.87
  5. Step 5: Solve for x
    x = 667,327.87/1,065.94
  6. Step 6: Final answer
    x = 626.05

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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.