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Finding the Fourth Proportional to 1,176.02, 1,623.78 and 783.98

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Solution

The fourth proportional to 1,176.02, 1,623.78 and 783.98 is: 1,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.02 : 1,623.78 = 783.98 : x
  2. Step 2: Convert to fraction form
    1,176.02/1,623.78 = 783.98/x
  3. Step 3: Cross multiply
    1,176.02x = 1,623.78 × 783.98
  4. Step 4: Simplify right side
    1,176.02x = 1,273,011.04
  5. Step 5: Solve for x
    x = 1,273,011.04/1,176.02
  6. Step 6: Final answer
    x = 1,082.47

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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.