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Finding the Fourth Proportional to 706.04, 973.78 and 457.44

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Solution

The fourth proportional to 706.04, 973.78 and 457.44 is: 630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.04 : 973.78 = 457.44 : x
  2. Step 2: Convert to fraction form
    706.04/973.78 = 457.44/x
  3. Step 3: Cross multiply
    706.04x = 973.78 × 457.44
  4. Step 4: Simplify right side
    706.04x = 445,445.92
  5. Step 5: Solve for x
    x = 445,445.92/706.04
  6. Step 6: Final answer
    x = 630.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.