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Finding the Fourth Proportional to 1,037.42, 1,554.91 and 420.80

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Solution

The fourth proportional to 1,037.42, 1,554.91 and 420.80 is: 630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.42 : 1,554.91 = 420.80 : x
  2. Step 2: Convert to fraction form
    1,037.42/1,554.91 = 420.80/x
  3. Step 3: Cross multiply
    1,037.42x = 1,554.91 × 420.80
  4. Step 4: Simplify right side
    1,037.42x = 654,308.96
  5. Step 5: Solve for x
    x = 654,308.96/1,037.42
  6. Step 6: Final answer
    x = 630.71

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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.