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Finding the Fourth Proportional to 858.74, 1,184.76 and 564.17

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Solution

The fourth proportional to 858.74, 1,184.76 and 564.17 is: 778.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.74 : 1,184.76 = 564.17 : x
  2. Step 2: Convert to fraction form
    858.74/1,184.76 = 564.17/x
  3. Step 3: Cross multiply
    858.74x = 1,184.76 × 564.17
  4. Step 4: Simplify right side
    858.74x = 668,406.05
  5. Step 5: Solve for x
    x = 668,406.05/858.74
  6. Step 6: Final answer
    x = 778.36

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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.