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Finding the Fourth Proportional to 1,296.57, 1,788.47 and 830.01

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Solution

The fourth proportional to 1,296.57, 1,788.47 and 830.01 is: 1,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.57 : 1,788.47 = 830.01 : x
  2. Step 2: Convert to fraction form
    1,296.57/1,788.47 = 830.01/x
  3. Step 3: Cross multiply
    1,296.57x = 1,788.47 × 830.01
  4. Step 4: Simplify right side
    1,296.57x = 1,484,447.98
  5. Step 5: Solve for x
    x = 1,484,447.98/1,296.57
  6. Step 6: Final answer
    x = 1,144.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.