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Finding the Fourth Proportional to 675.39, 1,013.77 and 429.35

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Solution

The fourth proportional to 675.39, 1,013.77 and 429.35 is: 644.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.39 : 1,013.77 = 429.35 : x
  2. Step 2: Convert to fraction form
    675.39/1,013.77 = 429.35/x
  3. Step 3: Cross multiply
    675.39x = 1,013.77 × 429.35
  4. Step 4: Simplify right side
    675.39x = 435,260.90
  5. Step 5: Solve for x
    x = 435,260.90/675.39
  6. Step 6: Final answer
    x = 644.46

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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.