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Finding the Fourth Proportional to 704.96, 974.60 and 530.00

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Solution

The fourth proportional to 704.96, 974.60 and 530.00 is: 732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.96 : 974.60 = 530.00 : x
  2. Step 2: Convert to fraction form
    704.96/974.60 = 530.00/x
  3. Step 3: Cross multiply
    704.96x = 974.60 × 530.00
  4. Step 4: Simplify right side
    704.96x = 516,530.48
  5. Step 5: Solve for x
    x = 516,530.48/704.96
  6. Step 6: Final answer
    x = 732.71

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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.