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Finding the Fourth Proportional to 756.83, 1,044.54 and 707.42

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Solution

The fourth proportional to 756.83, 1,044.54 and 707.42 is: 976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.83 : 1,044.54 = 707.42 : x
  2. Step 2: Convert to fraction form
    756.83/1,044.54 = 707.42/x
  3. Step 3: Cross multiply
    756.83x = 1,044.54 × 707.42
  4. Step 4: Simplify right side
    756.83x = 738,928.49
  5. Step 5: Solve for x
    x = 738,928.49/756.83
  6. Step 6: Final answer
    x = 976.35

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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.