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Finding the Fourth Proportional to 1,775.95, 2,663.92 and 477.31

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Solution

The fourth proportional to 1,775.95, 2,663.92 and 477.31 is: 715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.95 : 2,663.92 = 477.31 : x
  2. Step 2: Convert to fraction form
    1,775.95/2,663.92 = 477.31/x
  3. Step 3: Cross multiply
    1,775.95x = 2,663.92 × 477.31
  4. Step 4: Simplify right side
    1,775.95x = 1,271,515.66
  5. Step 5: Solve for x
    x = 1,271,515.66/1,775.95
  6. Step 6: Final answer
    x = 715.96

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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.