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Finding the Fourth Proportional to 693.34, 957.75 and 583.99

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Solution

The fourth proportional to 693.34, 957.75 and 583.99 is: 806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.34 : 957.75 = 583.99 : x
  2. Step 2: Convert to fraction form
    693.34/957.75 = 583.99/x
  3. Step 3: Cross multiply
    693.34x = 957.75 × 583.99
  4. Step 4: Simplify right side
    693.34x = 559,316.42
  5. Step 5: Solve for x
    x = 559,316.42/693.34
  6. Step 6: Final answer
    x = 806.70

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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.