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Finding the Fourth Proportional to 1,029.12, 1,419.97 and 586.93

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Solution

The fourth proportional to 1,029.12, 1,419.97 and 586.93 is: 809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.12 : 1,419.97 = 586.93 : x
  2. Step 2: Convert to fraction form
    1,029.12/1,419.97 = 586.93/x
  3. Step 3: Cross multiply
    1,029.12x = 1,419.97 × 586.93
  4. Step 4: Simplify right side
    1,029.12x = 833,422.99
  5. Step 5: Solve for x
    x = 833,422.99/1,029.12
  6. Step 6: Final answer
    x = 809.84

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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.