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Finding the Fourth Proportional to 1,597.13, 2,395.59 and 596.28

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Solution

The fourth proportional to 1,597.13, 2,395.59 and 596.28 is: 894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.13 : 2,395.59 = 596.28 : x
  2. Step 2: Convert to fraction form
    1,597.13/2,395.59 = 596.28/x
  3. Step 3: Cross multiply
    1,597.13x = 2,395.59 × 596.28
  4. Step 4: Simplify right side
    1,597.13x = 1,428,444.08
  5. Step 5: Solve for x
    x = 1,428,444.08/1,597.13
  6. Step 6: Final answer
    x = 894.38

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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.