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Finding the Fourth Proportional to 973.36, 1,344.14 and 624.66

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Solution

The fourth proportional to 973.36, 1,344.14 and 624.66 is: 862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.36 : 1,344.14 = 624.66 : x
  2. Step 2: Convert to fraction form
    973.36/1,344.14 = 624.66/x
  3. Step 3: Cross multiply
    973.36x = 1,344.14 × 624.66
  4. Step 4: Simplify right side
    973.36x = 839,630.49
  5. Step 5: Solve for x
    x = 839,630.49/973.36
  6. Step 6: Final answer
    x = 862.61

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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.