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Finding the Fourth Proportional to 1,192.45, 1,790.70 and 783.40

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Solution

The fourth proportional to 1,192.45, 1,790.70 and 783.40 is: 1,176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.45 : 1,790.70 = 783.40 : x
  2. Step 2: Convert to fraction form
    1,192.45/1,790.70 = 783.40/x
  3. Step 3: Cross multiply
    1,192.45x = 1,790.70 × 783.40
  4. Step 4: Simplify right side
    1,192.45x = 1,402,834.38
  5. Step 5: Solve for x
    x = 1,402,834.38/1,192.45
  6. Step 6: Final answer
    x = 1,176.43

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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.