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Finding the Fourth Proportional to 1,037.71, 1,556.42 and 307.19

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Solution

The fourth proportional to 1,037.71, 1,556.42 and 307.19 is: 460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.71 : 1,556.42 = 307.19 : x
  2. Step 2: Convert to fraction form
    1,037.71/1,556.42 = 307.19/x
  3. Step 3: Cross multiply
    1,037.71x = 1,556.42 × 307.19
  4. Step 4: Simplify right side
    1,037.71x = 478,119.01
  5. Step 5: Solve for x
    x = 478,119.01/1,037.71
  6. Step 6: Final answer
    x = 460.74

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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.