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Finding the Fourth Proportional to 1,201.50, 1,657.97 and 670.32

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Solution

The fourth proportional to 1,201.50, 1,657.97 and 670.32 is: 924.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.50 : 1,657.97 = 670.32 : x
  2. Step 2: Convert to fraction form
    1,201.50/1,657.97 = 670.32/x
  3. Step 3: Cross multiply
    1,201.50x = 1,657.97 × 670.32
  4. Step 4: Simplify right side
    1,201.50x = 1,111,370.45
  5. Step 5: Solve for x
    x = 1,111,370.45/1,201.50
  6. Step 6: Final answer
    x = 924.99

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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.