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Finding the Fourth Proportional to 693.33, 956.70 and 588.84

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Solution

The fourth proportional to 693.33, 956.70 and 588.84 is: 812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.33 : 956.70 = 588.84 : x
  2. Step 2: Convert to fraction form
    693.33/956.70 = 588.84/x
  3. Step 3: Cross multiply
    693.33x = 956.70 × 588.84
  4. Step 4: Simplify right side
    693.33x = 563,343.23
  5. Step 5: Solve for x
    x = 563,343.23/693.33
  6. Step 6: Final answer
    x = 812.52

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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.