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Finding the Fourth Proportional to 1,202.42, 1,659.62 and 705.08

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Solution

The fourth proportional to 1,202.42, 1,659.62 and 705.08 is: 973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.42 : 1,659.62 = 705.08 : x
  2. Step 2: Convert to fraction form
    1,202.42/1,659.62 = 705.08/x
  3. Step 3: Cross multiply
    1,202.42x = 1,659.62 × 705.08
  4. Step 4: Simplify right side
    1,202.42x = 1,170,161.34
  5. Step 5: Solve for x
    x = 1,170,161.34/1,202.42
  6. Step 6: Final answer
    x = 973.17

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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.