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Finding the Fourth Proportional to 1,050.16, 1,449.16 and 584.38

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Solution

The fourth proportional to 1,050.16, 1,449.16 and 584.38 is: 806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.16 : 1,449.16 = 584.38 : x
  2. Step 2: Convert to fraction form
    1,050.16/1,449.16 = 584.38/x
  3. Step 3: Cross multiply
    1,050.16x = 1,449.16 × 584.38
  4. Step 4: Simplify right side
    1,050.16x = 846,849.95
  5. Step 5: Solve for x
    x = 846,849.95/1,050.16
  6. Step 6: Final answer
    x = 806.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.