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Finding the Fourth Proportional to 706.68, 1,058.40 and 645.66

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Solution

The fourth proportional to 706.68, 1,058.40 and 645.66 is: 967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.68 : 1,058.40 = 645.66 : x
  2. Step 2: Convert to fraction form
    706.68/1,058.40 = 645.66/x
  3. Step 3: Cross multiply
    706.68x = 1,058.40 × 645.66
  4. Step 4: Simplify right side
    706.68x = 683,366.54
  5. Step 5: Solve for x
    x = 683,366.54/706.68
  6. Step 6: Final answer
    x = 967.01

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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.