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Finding the Fourth Proportional to 862.46, 1,189.64 and 530.78

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Solution

The fourth proportional to 862.46, 1,189.64 and 530.78 is: 732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.46 : 1,189.64 = 530.78 : x
  2. Step 2: Convert to fraction form
    862.46/1,189.64 = 530.78/x
  3. Step 3: Cross multiply
    862.46x = 1,189.64 × 530.78
  4. Step 4: Simplify right side
    862.46x = 631,437.12
  5. Step 5: Solve for x
    x = 631,437.12/862.46
  6. Step 6: Final answer
    x = 732.13

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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.