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Finding the Fourth Proportional to 890.94, 1,335.05 and 565.32

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Solution

The fourth proportional to 890.94, 1,335.05 and 565.32 is: 847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.94 : 1,335.05 = 565.32 : x
  2. Step 2: Convert to fraction form
    890.94/1,335.05 = 565.32/x
  3. Step 3: Cross multiply
    890.94x = 1,335.05 × 565.32
  4. Step 4: Simplify right side
    890.94x = 754,723.79
  5. Step 5: Solve for x
    x = 754,723.79/890.94
  6. Step 6: Final answer
    x = 847.11

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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.