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Finding the Fourth Proportional to 732.03, 1,092.83 and 706.40

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Solution

The fourth proportional to 732.03, 1,092.83 and 706.40 is: 1,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.03 : 1,092.83 = 706.40 : x
  2. Step 2: Convert to fraction form
    732.03/1,092.83 = 706.40/x
  3. Step 3: Cross multiply
    732.03x = 1,092.83 × 706.40
  4. Step 4: Simplify right side
    732.03x = 771,975.11
  5. Step 5: Solve for x
    x = 771,975.11/732.03
  6. Step 6: Final answer
    x = 1,054.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.