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Finding the Fourth Proportional to 1,032.68, 1,420.49 and 906.02

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Solution

The fourth proportional to 1,032.68, 1,420.49 and 906.02 is: 1,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.68 : 1,420.49 = 906.02 : x
  2. Step 2: Convert to fraction form
    1,032.68/1,420.49 = 906.02/x
  3. Step 3: Cross multiply
    1,032.68x = 1,420.49 × 906.02
  4. Step 4: Simplify right side
    1,032.68x = 1,286,992.35
  5. Step 5: Solve for x
    x = 1,286,992.35/1,032.68
  6. Step 6: Final answer
    x = 1,246.26

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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.