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Finding the Fourth Proportional to 1,775.70, 2,663.51 and 477.18

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Solution

The fourth proportional to 1,775.70, 2,663.51 and 477.18 is: 715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.70 : 2,663.51 = 477.18 : x
  2. Step 2: Convert to fraction form
    1,775.70/2,663.51 = 477.18/x
  3. Step 3: Cross multiply
    1,775.70x = 2,663.51 × 477.18
  4. Step 4: Simplify right side
    1,775.70x = 1,270,971.32
  5. Step 5: Solve for x
    x = 1,270,971.32/1,775.70
  6. Step 6: Final answer
    x = 715.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.