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Finding the Fourth Proportional to 1,124.06, 1,684.92 and 661.46

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Solution

The fourth proportional to 1,124.06, 1,684.92 and 661.46 is: 991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.06 : 1,684.92 = 661.46 : x
  2. Step 2: Convert to fraction form
    1,124.06/1,684.92 = 661.46/x
  3. Step 3: Cross multiply
    1,124.06x = 1,684.92 × 661.46
  4. Step 4: Simplify right side
    1,124.06x = 1,114,507.18
  5. Step 5: Solve for x
    x = 1,114,507.18/1,124.06
  6. Step 6: Final answer
    x = 991.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.