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Finding the Fourth Proportional to 1,053.40, 1,580.10 and 683.80

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Solution

The fourth proportional to 1,053.40, 1,580.10 and 683.80 is: 1,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.40 : 1,580.10 = 683.80 : x
  2. Step 2: Convert to fraction form
    1,053.40/1,580.10 = 683.80/x
  3. Step 3: Cross multiply
    1,053.40x = 1,580.10 × 683.80
  4. Step 4: Simplify right side
    1,053.40x = 1,080,472.38
  5. Step 5: Solve for x
    x = 1,080,472.38/1,053.40
  6. Step 6: Final answer
    x = 1,025.70

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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.