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Finding the Fourth Proportional to 991.68, 1,368.08 and 598.47

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Solution

The fourth proportional to 991.68, 1,368.08 and 598.47 is: 825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.68 : 1,368.08 = 598.47 : x
  2. Step 2: Convert to fraction form
    991.68/1,368.08 = 598.47/x
  3. Step 3: Cross multiply
    991.68x = 1,368.08 × 598.47
  4. Step 4: Simplify right side
    991.68x = 818,754.84
  5. Step 5: Solve for x
    x = 818,754.84/991.68
  6. Step 6: Final answer
    x = 825.62

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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.