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Finding the Fourth Proportional to 1,776.18, 2,663.90 and 477.34

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Solution

The fourth proportional to 1,776.18, 2,663.90 and 477.34 is: 715.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.18 : 2,663.90 = 477.34 : x
  2. Step 2: Convert to fraction form
    1,776.18/2,663.90 = 477.34/x
  3. Step 3: Cross multiply
    1,776.18x = 2,663.90 × 477.34
  4. Step 4: Simplify right side
    1,776.18x = 1,271,586.03
  5. Step 5: Solve for x
    x = 1,271,586.03/1,776.18
  6. Step 6: Final answer
    x = 715.91

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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.