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Finding the Fourth Proportional to 1,037.07, 1,555.64 and 306.71

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Solution

The fourth proportional to 1,037.07, 1,555.64 and 306.71 is: 460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.07 : 1,555.64 = 306.71 : x
  2. Step 2: Convert to fraction form
    1,037.07/1,555.64 = 306.71/x
  3. Step 3: Cross multiply
    1,037.07x = 1,555.64 × 306.71
  4. Step 4: Simplify right side
    1,037.07x = 477,121.03
  5. Step 5: Solve for x
    x = 477,121.03/1,037.07
  6. Step 6: Final answer
    x = 460.07

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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.