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Finding the Fourth Proportional to 1,043.06, 1,564.62 and 580.58

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Solution

The fourth proportional to 1,043.06, 1,564.62 and 580.58 is: 870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.06 : 1,564.62 = 580.58 : x
  2. Step 2: Convert to fraction form
    1,043.06/1,564.62 = 580.58/x
  3. Step 3: Cross multiply
    1,043.06x = 1,564.62 × 580.58
  4. Step 4: Simplify right side
    1,043.06x = 908,387.08
  5. Step 5: Solve for x
    x = 908,387.08/1,043.06
  6. Step 6: Final answer
    x = 870.89

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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.