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Finding the Fourth Proportional to 1,020.57, 1,530.30 and 472.45

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Solution

The fourth proportional to 1,020.57, 1,530.30 and 472.45 is: 708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.57 : 1,530.30 = 472.45 : x
  2. Step 2: Convert to fraction form
    1,020.57/1,530.30 = 472.45/x
  3. Step 3: Cross multiply
    1,020.57x = 1,530.30 × 472.45
  4. Step 4: Simplify right side
    1,020.57x = 722,987.87
  5. Step 5: Solve for x
    x = 722,987.87/1,020.57
  6. Step 6: Final answer
    x = 708.42

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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.