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Finding the Fourth Proportional to 840.93, 1,158.89 and 707.96

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Solution

The fourth proportional to 840.93, 1,158.89 and 707.96 is: 975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.93 : 1,158.89 = 707.96 : x
  2. Step 2: Convert to fraction form
    840.93/1,158.89 = 707.96/x
  3. Step 3: Cross multiply
    840.93x = 1,158.89 × 707.96
  4. Step 4: Simplify right side
    840.93x = 820,438.43
  5. Step 5: Solve for x
    x = 820,438.43/840.93
  6. Step 6: Final answer
    x = 975.63

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Why These Related Problems?

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