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Finding the Fourth Proportional to 703.82, 971.66 and 424.12

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Solution

The fourth proportional to 703.82, 971.66 and 424.12 is: 585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.82 : 971.66 = 424.12 : x
  2. Step 2: Convert to fraction form
    703.82/971.66 = 424.12/x
  3. Step 3: Cross multiply
    703.82x = 971.66 × 424.12
  4. Step 4: Simplify right side
    703.82x = 412,095.89
  5. Step 5: Solve for x
    x = 412,095.89/703.82
  6. Step 6: Final answer
    x = 585.51

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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.