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Finding the Fourth Proportional to 1,077.33, 1,616.58 and 428.07

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Solution

The fourth proportional to 1,077.33, 1,616.58 and 428.07 is: 642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.33 : 1,616.58 = 428.07 : x
  2. Step 2: Convert to fraction form
    1,077.33/1,616.58 = 428.07/x
  3. Step 3: Cross multiply
    1,077.33x = 1,616.58 × 428.07
  4. Step 4: Simplify right side
    1,077.33x = 692,009.40
  5. Step 5: Solve for x
    x = 692,009.40/1,077.33
  6. Step 6: Final answer
    x = 642.34

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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.