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Finding the Fourth Proportional to 1,652.43, 2,477.28 and 774.48

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Solution

The fourth proportional to 1,652.43, 2,477.28 and 774.48 is: 1,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.43 : 2,477.28 = 774.48 : x
  2. Step 2: Convert to fraction form
    1,652.43/2,477.28 = 774.48/x
  3. Step 3: Cross multiply
    1,652.43x = 2,477.28 × 774.48
  4. Step 4: Simplify right side
    1,652.43x = 1,918,603.81
  5. Step 5: Solve for x
    x = 1,918,603.81/1,652.43
  6. Step 6: Final answer
    x = 1,161.08

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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.