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Finding the Fourth Proportional to 1,520.33, 2,281.05 and 643.06

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Solution

The fourth proportional to 1,520.33, 2,281.05 and 643.06 is: 964.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.33 : 2,281.05 = 643.06 : x
  2. Step 2: Convert to fraction form
    1,520.33/2,281.05 = 643.06/x
  3. Step 3: Cross multiply
    1,520.33x = 2,281.05 × 643.06
  4. Step 4: Simplify right side
    1,520.33x = 1,466,852.01
  5. Step 5: Solve for x
    x = 1,466,852.01/1,520.33
  6. Step 6: Final answer
    x = 964.82

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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.