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Finding the Fourth Proportional to 858.70, 1,184.32 and 564.27

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Solution

The fourth proportional to 858.70, 1,184.32 and 564.27 is: 778.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.70 : 1,184.32 = 564.27 : x
  2. Step 2: Convert to fraction form
    858.70/1,184.32 = 564.27/x
  3. Step 3: Cross multiply
    858.70x = 1,184.32 × 564.27
  4. Step 4: Simplify right side
    858.70x = 668,276.25
  5. Step 5: Solve for x
    x = 668,276.25/858.70
  6. Step 6: Final answer
    x = 778.24

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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.