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Finding the Fourth Proportional to 706.52, 975.60 and 473.78

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Solution

The fourth proportional to 706.52, 975.60 and 473.78 is: 654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.52 : 975.60 = 473.78 : x
  2. Step 2: Convert to fraction form
    706.52/975.60 = 473.78/x
  3. Step 3: Cross multiply
    706.52x = 975.60 × 473.78
  4. Step 4: Simplify right side
    706.52x = 462,219.77
  5. Step 5: Solve for x
    x = 462,219.77/706.52
  6. Step 6: Final answer
    x = 654.22

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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.