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Finding the Fourth Proportional to 700.48, 1,048.96 and 648.64

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Solution

The fourth proportional to 700.48, 1,048.96 and 648.64 is: 971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.48 : 1,048.96 = 648.64 : x
  2. Step 2: Convert to fraction form
    700.48/1,048.96 = 648.64/x
  3. Step 3: Cross multiply
    700.48x = 1,048.96 × 648.64
  4. Step 4: Simplify right side
    700.48x = 680,397.41
  5. Step 5: Solve for x
    x = 680,397.41/700.48
  6. Step 6: Final answer
    x = 971.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.