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Finding the Fourth Proportional to 1,135.86, 1,706.84 and 616.25

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Solution

The fourth proportional to 1,135.86, 1,706.84 and 616.25 is: 926.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.86 : 1,706.84 = 616.25 : x
  2. Step 2: Convert to fraction form
    1,135.86/1,706.84 = 616.25/x
  3. Step 3: Cross multiply
    1,135.86x = 1,706.84 × 616.25
  4. Step 4: Simplify right side
    1,135.86x = 1,051,828.53
  5. Step 5: Solve for x
    x = 1,051,828.53/1,135.86
  6. Step 6: Final answer
    x = 926.02

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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.