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Finding the Fourth Proportional to 684.16, 942.50 and 565.64

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Solution

The fourth proportional to 684.16, 942.50 and 565.64 is: 779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.16 : 942.50 = 565.64 : x
  2. Step 2: Convert to fraction form
    684.16/942.50 = 565.64/x
  3. Step 3: Cross multiply
    684.16x = 942.50 × 565.64
  4. Step 4: Simplify right side
    684.16x = 533,115.70
  5. Step 5: Solve for x
    x = 533,115.70/684.16
  6. Step 6: Final answer
    x = 779.23

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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.