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Finding the Fourth Proportional to 696.57, 962.10 and 530.70

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Solution

The fourth proportional to 696.57, 962.10 and 530.70 is: 733.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.57 : 962.10 = 530.70 : x
  2. Step 2: Convert to fraction form
    696.57/962.10 = 530.70/x
  3. Step 3: Cross multiply
    696.57x = 962.10 × 530.70
  4. Step 4: Simplify right side
    696.57x = 510,586.47
  5. Step 5: Solve for x
    x = 510,586.47/696.57
  6. Step 6: Final answer
    x = 733.00

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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.