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Finding the Fourth Proportional to 1,037.81, 1,556.82 and 460.69

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Solution

The fourth proportional to 1,037.81, 1,556.82 and 460.69 is: 691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.81 : 1,556.82 = 460.69 : x
  2. Step 2: Convert to fraction form
    1,037.81/1,556.82 = 460.69/x
  3. Step 3: Cross multiply
    1,037.81x = 1,556.82 × 460.69
  4. Step 4: Simplify right side
    1,037.81x = 717,207.51
  5. Step 5: Solve for x
    x = 717,207.51/1,037.81
  6. Step 6: Final answer
    x = 691.08

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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.