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Finding the Fourth Proportional to 1,138.72, 1,699.76 and 977.44

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Solution

The fourth proportional to 1,138.72, 1,699.76 and 977.44 is: 1,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.72 : 1,699.76 = 977.44 : x
  2. Step 2: Convert to fraction form
    1,138.72/1,699.76 = 977.44/x
  3. Step 3: Cross multiply
    1,138.72x = 1,699.76 × 977.44
  4. Step 4: Simplify right side
    1,138.72x = 1,661,413.41
  5. Step 5: Solve for x
    x = 1,661,413.41/1,138.72
  6. Step 6: Final answer
    x = 1,459.02

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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.