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Finding the Fourth Proportional to 700.45, 1,044.09 and 654.28

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Solution

The fourth proportional to 700.45, 1,044.09 and 654.28 is: 975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.45 : 1,044.09 = 654.28 : x
  2. Step 2: Convert to fraction form
    700.45/1,044.09 = 654.28/x
  3. Step 3: Cross multiply
    700.45x = 1,044.09 × 654.28
  4. Step 4: Simplify right side
    700.45x = 683,124.59
  5. Step 5: Solve for x
    x = 683,124.59/700.45
  6. Step 6: Final answer
    x = 975.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.