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Finding the Fourth Proportional to 684.17, 1,027.13 and 530.22

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Solution

The fourth proportional to 684.17, 1,027.13 and 530.22 is: 796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.17 : 1,027.13 = 530.22 : x
  2. Step 2: Convert to fraction form
    684.17/1,027.13 = 530.22/x
  3. Step 3: Cross multiply
    684.17x = 1,027.13 × 530.22
  4. Step 4: Simplify right side
    684.17x = 544,602.22
  5. Step 5: Solve for x
    x = 544,602.22/684.17
  6. Step 6: Final answer
    x = 796.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.