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Finding the Fourth Proportional to 1,043.13, 1,564.68 and 580.68

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Solution

The fourth proportional to 1,043.13, 1,564.68 and 580.68 is: 871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.13 : 1,564.68 = 580.68 : x
  2. Step 2: Convert to fraction form
    1,043.13/1,564.68 = 580.68/x
  3. Step 3: Cross multiply
    1,043.13x = 1,564.68 × 580.68
  4. Step 4: Simplify right side
    1,043.13x = 908,578.38
  5. Step 5: Solve for x
    x = 908,578.38/1,043.13
  6. Step 6: Final answer
    x = 871.01

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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.