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Finding the Fourth Proportional to 1,043.06, 1,564.53 and 609.89

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Solution

The fourth proportional to 1,043.06, 1,564.53 and 609.89 is: 914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.06 : 1,564.53 = 609.89 : x
  2. Step 2: Convert to fraction form
    1,043.06/1,564.53 = 609.89/x
  3. Step 3: Cross multiply
    1,043.06x = 1,564.53 × 609.89
  4. Step 4: Simplify right side
    1,043.06x = 954,191.20
  5. Step 5: Solve for x
    x = 954,191.20/1,043.06
  6. Step 6: Final answer
    x = 914.80

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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.