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Finding the Fourth Proportional to 1,597.14, 2,394.66 and 557.07

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Solution

The fourth proportional to 1,597.14, 2,394.66 and 557.07 is: 835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.14 : 2,394.66 = 557.07 : x
  2. Step 2: Convert to fraction form
    1,597.14/2,394.66 = 557.07/x
  3. Step 3: Cross multiply
    1,597.14x = 2,394.66 × 557.07
  4. Step 4: Simplify right side
    1,597.14x = 1,333,993.25
  5. Step 5: Solve for x
    x = 1,333,993.25/1,597.14
  6. Step 6: Final answer
    x = 835.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.