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Finding the Fourth Proportional to 1,059.94, 1,462.67 and 587.83

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Solution

The fourth proportional to 1,059.94, 1,462.67 and 587.83 is: 811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.94 : 1,462.67 = 587.83 : x
  2. Step 2: Convert to fraction form
    1,059.94/1,462.67 = 587.83/x
  3. Step 3: Cross multiply
    1,059.94x = 1,462.67 × 587.83
  4. Step 4: Simplify right side
    1,059.94x = 859,803.49
  5. Step 5: Solve for x
    x = 859,803.49/1,059.94
  6. Step 6: Final answer
    x = 811.18

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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.