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Finding the Fourth Proportional to 696.77, 960.59 and 510.27

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Solution

The fourth proportional to 696.77, 960.59 and 510.27 is: 703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.77 : 960.59 = 510.27 : x
  2. Step 2: Convert to fraction form
    696.77/960.59 = 510.27/x
  3. Step 3: Cross multiply
    696.77x = 960.59 × 510.27
  4. Step 4: Simplify right side
    696.77x = 490,157.93
  5. Step 5: Solve for x
    x = 490,157.93/696.77
  6. Step 6: Final answer
    x = 703.47

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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.