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Finding the Fourth Proportional to 1,354.64, 2,030.52 and 661.52

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Solution

The fourth proportional to 1,354.64, 2,030.52 and 661.52 is: 991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.64 : 2,030.52 = 661.52 : x
  2. Step 2: Convert to fraction form
    1,354.64/2,030.52 = 661.52/x
  3. Step 3: Cross multiply
    1,354.64x = 2,030.52 × 661.52
  4. Step 4: Simplify right side
    1,354.64x = 1,343,229.59
  5. Step 5: Solve for x
    x = 1,343,229.59/1,354.64
  6. Step 6: Final answer
    x = 991.58

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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.