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Finding the Fourth Proportional to 1,312.42, 1,966.20 and 661.59

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Solution

The fourth proportional to 1,312.42, 1,966.20 and 661.59 is: 991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.42 : 1,966.20 = 661.59 : x
  2. Step 2: Convert to fraction form
    1,312.42/1,966.20 = 661.59/x
  3. Step 3: Cross multiply
    1,312.42x = 1,966.20 × 661.59
  4. Step 4: Simplify right side
    1,312.42x = 1,300,818.26
  5. Step 5: Solve for x
    x = 1,300,818.26/1,312.42
  6. Step 6: Final answer
    x = 991.16

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