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Finding the Fourth Proportional to 688.16, 948.26 and 530.81

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Solution

The fourth proportional to 688.16, 948.26 and 530.81 is: 731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.16 : 948.26 = 530.81 : x
  2. Step 2: Convert to fraction form
    688.16/948.26 = 530.81/x
  3. Step 3: Cross multiply
    688.16x = 948.26 × 530.81
  4. Step 4: Simplify right side
    688.16x = 503,338.50
  5. Step 5: Solve for x
    x = 503,338.50/688.16
  6. Step 6: Final answer
    x = 731.43

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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.