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Finding the Fourth Proportional to 1,192.62, 1,788.66 and 607.00

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Solution

The fourth proportional to 1,192.62, 1,788.66 and 607.00 is: 910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.62 : 1,788.66 = 607.00 : x
  2. Step 2: Convert to fraction form
    1,192.62/1,788.66 = 607.00/x
  3. Step 3: Cross multiply
    1,192.62x = 1,788.66 × 607.00
  4. Step 4: Simplify right side
    1,192.62x = 1,085,709.19
  5. Step 5: Solve for x
    x = 1,085,709.19/1,192.62
  6. Step 6: Final answer
    x = 910.36

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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.