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Finding the Fourth Proportional to 1,597.16, 2,203.59 and 999.75

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Solution

The fourth proportional to 1,597.16, 2,203.59 and 999.75 is: 1,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.16 : 2,203.59 = 999.75 : x
  2. Step 2: Convert to fraction form
    1,597.16/2,203.59 = 999.75/x
  3. Step 3: Cross multiply
    1,597.16x = 2,203.59 × 999.75
  4. Step 4: Simplify right side
    1,597.16x = 2,203,039.10
  5. Step 5: Solve for x
    x = 2,203,039.10/1,597.16
  6. Step 6: Final answer
    x = 1,379.35

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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.