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Finding the Fourth Proportional to 1,497.33, 2,065.94 and 999.63

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Solution

The fourth proportional to 1,497.33, 2,065.94 and 999.63 is: 1,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.33 : 2,065.94 = 999.63 : x
  2. Step 2: Convert to fraction form
    1,497.33/2,065.94 = 999.63/x
  3. Step 3: Cross multiply
    1,497.33x = 2,065.94 × 999.63
  4. Step 4: Simplify right side
    1,497.33x = 2,065,170.60
  5. Step 5: Solve for x
    x = 2,065,170.60/1,497.33
  6. Step 6: Final answer
    x = 1,379.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.