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Finding the Fourth Proportional to 891.61, 1,336.33 and 783.61

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Solution

The fourth proportional to 891.61, 1,336.33 and 783.61 is: 1,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.61 : 1,336.33 = 783.61 : x
  2. Step 2: Convert to fraction form
    891.61/1,336.33 = 783.61/x
  3. Step 3: Cross multiply
    891.61x = 1,336.33 × 783.61
  4. Step 4: Simplify right side
    891.61x = 1,047,159.19
  5. Step 5: Solve for x
    x = 1,047,159.19/891.61
  6. Step 6: Final answer
    x = 1,174.46

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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.