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Finding the Fourth Proportional to 923.62, 1,379.55 and 835.64

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Solution

The fourth proportional to 923.62, 1,379.55 and 835.64 is: 1,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.62 : 1,379.55 = 835.64 : x
  2. Step 2: Convert to fraction form
    923.62/1,379.55 = 835.64/x
  3. Step 3: Cross multiply
    923.62x = 1,379.55 × 835.64
  4. Step 4: Simplify right side
    923.62x = 1,152,807.16
  5. Step 5: Solve for x
    x = 1,152,807.16/923.62
  6. Step 6: Final answer
    x = 1,248.14

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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.