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Finding the Fourth Proportional to 807.61, 1,114.63 and 493.06

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Solution

The fourth proportional to 807.61, 1,114.63 and 493.06 is: 680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.61 : 1,114.63 = 493.06 : x
  2. Step 2: Convert to fraction form
    807.61/1,114.63 = 493.06/x
  3. Step 3: Cross multiply
    807.61x = 1,114.63 × 493.06
  4. Step 4: Simplify right side
    807.61x = 549,577.54
  5. Step 5: Solve for x
    x = 549,577.54/807.61
  6. Step 6: Final answer
    x = 680.50

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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.