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Finding the Fourth Proportional to 1,053.54, 1,580.46 and 505.62

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Solution

The fourth proportional to 1,053.54, 1,580.46 and 505.62 is: 758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.54 : 1,580.46 = 505.62 : x
  2. Step 2: Convert to fraction form
    1,053.54/1,580.46 = 505.62/x
  3. Step 3: Cross multiply
    1,053.54x = 1,580.46 × 505.62
  4. Step 4: Simplify right side
    1,053.54x = 799,112.19
  5. Step 5: Solve for x
    x = 799,112.19/1,053.54
  6. Step 6: Final answer
    x = 758.50

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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.