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Finding the Fourth Proportional to 1,053.80, 1,580.90 and 506.64

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Solution

The fourth proportional to 1,053.80, 1,580.90 and 506.64 is: 760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.80 : 1,580.90 = 506.64 : x
  2. Step 2: Convert to fraction form
    1,053.80/1,580.90 = 506.64/x
  3. Step 3: Cross multiply
    1,053.80x = 1,580.90 × 506.64
  4. Step 4: Simplify right side
    1,053.80x = 800,947.18
  5. Step 5: Solve for x
    x = 800,947.18/1,053.80
  6. Step 6: Final answer
    x = 760.06

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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.