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Finding the Fourth Proportional to 704.32, 973.44 and 618.96

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Solution

The fourth proportional to 704.32, 973.44 and 618.96 is: 855.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.32 : 973.44 = 618.96 : x
  2. Step 2: Convert to fraction form
    704.32/973.44 = 618.96/x
  3. Step 3: Cross multiply
    704.32x = 973.44 × 618.96
  4. Step 4: Simplify right side
    704.32x = 602,520.42
  5. Step 5: Solve for x
    x = 602,520.42/704.32
  6. Step 6: Final answer
    x = 855.46

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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.