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Finding the Fourth Proportional to 696.77, 961.01 and 510.19

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Solution

The fourth proportional to 696.77, 961.01 and 510.19 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.77 : 961.01 = 510.19 : x
  2. Step 2: Convert to fraction form
    696.77/961.01 = 510.19/x
  3. Step 3: Cross multiply
    696.77x = 961.01 × 510.19
  4. Step 4: Simplify right side
    696.77x = 490,296.98
  5. Step 5: Solve for x
    x = 490,296.98/696.77
  6. Step 6: Final answer
    x = 703.67

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