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Finding the Fourth Proportional to 1,224.68, 1,837.02 and 530.78

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Solution

The fourth proportional to 1,224.68, 1,837.02 and 530.78 is: 796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.68 : 1,837.02 = 530.78 : x
  2. Step 2: Convert to fraction form
    1,224.68/1,837.02 = 530.78/x
  3. Step 3: Cross multiply
    1,224.68x = 1,837.02 × 530.78
  4. Step 4: Simplify right side
    1,224.68x = 975,053.48
  5. Step 5: Solve for x
    x = 975,053.48/1,224.68
  6. Step 6: Final answer
    x = 796.17

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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.