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Finding the Fourth Proportional to 873.59, 1,309.58 and 564.53

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Solution

The fourth proportional to 873.59, 1,309.58 and 564.53 is: 846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.59 : 1,309.58 = 564.53 : x
  2. Step 2: Convert to fraction form
    873.59/1,309.58 = 564.53/x
  3. Step 3: Cross multiply
    873.59x = 1,309.58 × 564.53
  4. Step 4: Simplify right side
    873.59x = 739,287.83
  5. Step 5: Solve for x
    x = 739,287.83/873.59
  6. Step 6: Final answer
    x = 846.27

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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.