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Finding the Fourth Proportional to 1,059.18, 1,461.02 and 661.05

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Solution

The fourth proportional to 1,059.18, 1,461.02 and 661.05 is: 911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.18 : 1,461.02 = 661.05 : x
  2. Step 2: Convert to fraction form
    1,059.18/1,461.02 = 661.05/x
  3. Step 3: Cross multiply
    1,059.18x = 1,461.02 × 661.05
  4. Step 4: Simplify right side
    1,059.18x = 965,807.27
  5. Step 5: Solve for x
    x = 965,807.27/1,059.18
  6. Step 6: Final answer
    x = 911.84

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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.