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Finding the Fourth Proportional to 1,435.46, 2,153.07 and 569.54

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Solution

The fourth proportional to 1,435.46, 2,153.07 and 569.54 is: 854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.46 : 2,153.07 = 569.54 : x
  2. Step 2: Convert to fraction form
    1,435.46/2,153.07 = 569.54/x
  3. Step 3: Cross multiply
    1,435.46x = 2,153.07 × 569.54
  4. Step 4: Simplify right side
    1,435.46x = 1,226,259.49
  5. Step 5: Solve for x
    x = 1,226,259.49/1,435.46
  6. Step 6: Final answer
    x = 854.26

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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.