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Finding the Fourth Proportional to 858.13, 1,284.43 and 565.87

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Solution

The fourth proportional to 858.13, 1,284.43 and 565.87 is: 846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.13 : 1,284.43 = 565.87 : x
  2. Step 2: Convert to fraction form
    858.13/1,284.43 = 565.87/x
  3. Step 3: Cross multiply
    858.13x = 1,284.43 × 565.87
  4. Step 4: Simplify right side
    858.13x = 726,820.40
  5. Step 5: Solve for x
    x = 726,820.40/858.13
  6. Step 6: Final answer
    x = 846.98

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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.