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Finding the Fourth Proportional to 1,597.01, 2,394.61 and 556.87

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Solution

The fourth proportional to 1,597.01, 2,394.61 and 556.87 is: 834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.01 : 2,394.61 = 556.87 : x
  2. Step 2: Convert to fraction form
    1,597.01/2,394.61 = 556.87/x
  3. Step 3: Cross multiply
    1,597.01x = 2,394.61 × 556.87
  4. Step 4: Simplify right side
    1,597.01x = 1,333,483.69
  5. Step 5: Solve for x
    x = 1,333,483.69/1,597.01
  6. Step 6: Final answer
    x = 834.99

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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.