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Finding the Fourth Proportional to 696.24, 961.25 and 510.21

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Solution

The fourth proportional to 696.24, 961.25 and 510.21 is: 704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.24 : 961.25 = 510.21 : x
  2. Step 2: Convert to fraction form
    696.24/961.25 = 510.21/x
  3. Step 3: Cross multiply
    696.24x = 961.25 × 510.21
  4. Step 4: Simplify right side
    696.24x = 490,436.81
  5. Step 5: Solve for x
    x = 490,436.81/696.24
  6. Step 6: Final answer
    x = 704.41

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Double scale
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1.5x scale

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.