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Finding the Fourth Proportional to 690.84, 1,034.64 and 650.34

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Solution

The fourth proportional to 690.84, 1,034.64 and 650.34 is: 973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 1,034.64 = 650.34 : x
  2. Step 2: Convert to fraction form
    690.84/1,034.64 = 650.34/x
  3. Step 3: Cross multiply
    690.84x = 1,034.64 × 650.34
  4. Step 4: Simplify right side
    690.84x = 672,867.78
  5. Step 5: Solve for x
    x = 672,867.78/690.84
  6. Step 6: Final answer
    x = 973.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.