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Finding the Fourth Proportional to 763.22, 1,052.58 and 645.74

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Solution

The fourth proportional to 763.22, 1,052.58 and 645.74 is: 890.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.22 : 1,052.58 = 645.74 : x
  2. Step 2: Convert to fraction form
    763.22/1,052.58 = 645.74/x
  3. Step 3: Cross multiply
    763.22x = 1,052.58 × 645.74
  4. Step 4: Simplify right side
    763.22x = 679,693.01
  5. Step 5: Solve for x
    x = 679,693.01/763.22
  6. Step 6: Final answer
    x = 890.56

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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.