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Finding the Fourth Proportional to 1,050.66, 1,449.91 and 584.91

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Solution

The fourth proportional to 1,050.66, 1,449.91 and 584.91 is: 807.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.66 : 1,449.91 = 584.91 : x
  2. Step 2: Convert to fraction form
    1,050.66/1,449.91 = 584.91/x
  3. Step 3: Cross multiply
    1,050.66x = 1,449.91 × 584.91
  4. Step 4: Simplify right side
    1,050.66x = 848,062.15
  5. Step 5: Solve for x
    x = 848,062.15/1,050.66
  6. Step 6: Final answer
    x = 807.17

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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.