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Finding the Fourth Proportional to 1,032.63, 1,422.68 and 934.35

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Solution

The fourth proportional to 1,032.63, 1,422.68 and 934.35 is: 1,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.63 : 1,422.68 = 934.35 : x
  2. Step 2: Convert to fraction form
    1,032.63/1,422.68 = 934.35/x
  3. Step 3: Cross multiply
    1,032.63x = 1,422.68 × 934.35
  4. Step 4: Simplify right side
    1,032.63x = 1,329,276.39
  5. Step 5: Solve for x
    x = 1,329,276.39/1,032.63
  6. Step 6: Final answer
    x = 1,287.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.