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Finding the Fourth Proportional to 1,029.41, 1,420.25 and 587

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Solution

The fourth proportional to 1,029.41, 1,420.25 and 587 is: 809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.41 : 1,420.25 = 587 : x
  2. Step 2: Convert to fraction form
    1,029.41/1,420.25 = 587/x
  3. Step 3: Cross multiply
    1,029.41x = 1,420.25 × 587
  4. Step 4: Simplify right side
    1,029.41x = 833,683.82
  5. Step 5: Solve for x
    x = 833,683.82/1,029.41
  6. Step 6: Final answer
    x = 809.87

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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.