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Finding the Fourth Proportional to 696.40, 960.09 and 530.31

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Solution

The fourth proportional to 696.40, 960.09 and 530.31 is: 731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.40 : 960.09 = 530.31 : x
  2. Step 2: Convert to fraction form
    696.40/960.09 = 530.31/x
  3. Step 3: Cross multiply
    696.40x = 960.09 × 530.31
  4. Step 4: Simplify right side
    696.40x = 509,146.94
  5. Step 5: Solve for x
    x = 509,146.94/696.40
  6. Step 6: Final answer
    x = 731.12

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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.