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Finding the Fourth Proportional to 722.60, 988.35 and 711.26

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Solution

The fourth proportional to 722.60, 988.35 and 711.26 is: 972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.60 : 988.35 = 711.26 : x
  2. Step 2: Convert to fraction form
    722.60/988.35 = 711.26/x
  3. Step 3: Cross multiply
    722.60x = 988.35 × 711.26
  4. Step 4: Simplify right side
    722.60x = 702,973.82
  5. Step 5: Solve for x
    x = 702,973.82/722.60
  6. Step 6: Final answer
    x = 972.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.