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Finding the Fourth Proportional to 1,204.64, 1,661.74 and 707.18

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Solution

The fourth proportional to 1,204.64, 1,661.74 and 707.18 is: 975.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.64 : 1,661.74 = 707.18 : x
  2. Step 2: Convert to fraction form
    1,204.64/1,661.74 = 707.18/x
  3. Step 3: Cross multiply
    1,204.64x = 1,661.74 × 707.18
  4. Step 4: Simplify right side
    1,204.64x = 1,175,149.29
  5. Step 5: Solve for x
    x = 1,175,149.29/1,204.64
  6. Step 6: Final answer
    x = 975.52

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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.