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Finding the Fourth Proportional to 1,035.84, 1,429.34 and 587.71

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Solution

The fourth proportional to 1,035.84, 1,429.34 and 587.71 is: 810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.84 : 1,429.34 = 587.71 : x
  2. Step 2: Convert to fraction form
    1,035.84/1,429.34 = 587.71/x
  3. Step 3: Cross multiply
    1,035.84x = 1,429.34 × 587.71
  4. Step 4: Simplify right side
    1,035.84x = 840,037.41
  5. Step 5: Solve for x
    x = 840,037.41/1,035.84
  6. Step 6: Final answer
    x = 810.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.