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Finding the Fourth Proportional to 704.64, 973.36 and 530.72

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Solution

The fourth proportional to 704.64, 973.36 and 530.72 is: 733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.64 : 973.36 = 530.72 : x
  2. Step 2: Convert to fraction form
    704.64/973.36 = 530.72/x
  3. Step 3: Cross multiply
    704.64x = 973.36 × 530.72
  4. Step 4: Simplify right side
    704.64x = 516,581.62
  5. Step 5: Solve for x
    x = 516,581.62/704.64
  6. Step 6: Final answer
    x = 733.11

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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.