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Finding the Fourth Proportional to 1,490.57, 2,235.42 and 565.46

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Solution

The fourth proportional to 1,490.57, 2,235.42 and 565.46 is: 848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.57 : 2,235.42 = 565.46 : x
  2. Step 2: Convert to fraction form
    1,490.57/2,235.42 = 565.46/x
  3. Step 3: Cross multiply
    1,490.57x = 2,235.42 × 565.46
  4. Step 4: Simplify right side
    1,490.57x = 1,264,040.59
  5. Step 5: Solve for x
    x = 1,264,040.59/1,490.57
  6. Step 6: Final answer
    x = 848.02

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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.