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Finding the Fourth Proportional to 1,203.85, 1,661.29 and 706.40

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Solution

The fourth proportional to 1,203.85, 1,661.29 and 706.40 is: 974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.85 : 1,661.29 = 706.40 : x
  2. Step 2: Convert to fraction form
    1,203.85/1,661.29 = 706.40/x
  3. Step 3: Cross multiply
    1,203.85x = 1,661.29 × 706.40
  4. Step 4: Simplify right side
    1,203.85x = 1,173,530.71
  5. Step 5: Solve for x
    x = 1,173,530.71/1,203.85
  6. Step 6: Final answer
    x = 974.82

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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.