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Finding the Fourth Proportional to 1,309.81, 1,966.53 and 661.00

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Solution

The fourth proportional to 1,309.81, 1,966.53 and 661.00 is: 992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.81 : 1,966.53 = 661.00 : x
  2. Step 2: Convert to fraction form
    1,309.81/1,966.53 = 661.00/x
  3. Step 3: Cross multiply
    1,309.81x = 1,966.53 × 661.00
  4. Step 4: Simplify right side
    1,309.81x = 1,299,866.50
  5. Step 5: Solve for x
    x = 1,299,866.50/1,309.81
  6. Step 6: Final answer
    x = 992.41

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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.