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Finding the Fourth Proportional to 1,201.25, 1,657.69 and 670.23

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Solution

The fourth proportional to 1,201.25, 1,657.69 and 670.23 is: 924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.25 : 1,657.69 = 670.23 : x
  2. Step 2: Convert to fraction form
    1,201.25/1,657.69 = 670.23/x
  3. Step 3: Cross multiply
    1,201.25x = 1,657.69 × 670.23
  4. Step 4: Simplify right side
    1,201.25x = 1,111,031.89
  5. Step 5: Solve for x
    x = 1,111,031.89/1,201.25
  6. Step 6: Final answer
    x = 924.89

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