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Finding the Fourth Proportional to 1,435.84, 2,151.96 and 777.70

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Solution

The fourth proportional to 1,435.84, 2,151.96 and 777.70 is: 1,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.84 : 2,151.96 = 777.70 : x
  2. Step 2: Convert to fraction form
    1,435.84/2,151.96 = 777.70/x
  3. Step 3: Cross multiply
    1,435.84x = 2,151.96 × 777.70
  4. Step 4: Simplify right side
    1,435.84x = 1,673,579.29
  5. Step 5: Solve for x
    x = 1,673,579.29/1,435.84
  6. Step 6: Final answer
    x = 1,165.58

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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.