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Finding the Fourth Proportional to 746.10, 1,117.31 and 420.84

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Solution

The fourth proportional to 746.10, 1,117.31 and 420.84 is: 630.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.10 : 1,117.31 = 420.84 : x
  2. Step 2: Convert to fraction form
    746.10/1,117.31 = 420.84/x
  3. Step 3: Cross multiply
    746.10x = 1,117.31 × 420.84
  4. Step 4: Simplify right side
    746.10x = 470,206.64
  5. Step 5: Solve for x
    x = 470,206.64/746.10
  6. Step 6: Final answer
    x = 630.22

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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.