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Finding the Fourth Proportional to 806.04, 1,112.01 and 456.66

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Solution

The fourth proportional to 806.04, 1,112.01 and 456.66 is: 630.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.04 : 1,112.01 = 456.66 : x
  2. Step 2: Convert to fraction form
    806.04/1,112.01 = 456.66/x
  3. Step 3: Cross multiply
    806.04x = 1,112.01 × 456.66
  4. Step 4: Simplify right side
    806.04x = 507,810.49
  5. Step 5: Solve for x
    x = 507,810.49/806.04
  6. Step 6: Final answer
    x = 630.01

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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.