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Finding the Fourth Proportional to 1,523.36, 2,284.64 and 657.60

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Solution

The fourth proportional to 1,523.36, 2,284.64 and 657.60 is: 986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.36 : 2,284.64 = 657.60 : x
  2. Step 2: Convert to fraction form
    1,523.36/2,284.64 = 657.60/x
  3. Step 3: Cross multiply
    1,523.36x = 2,284.64 × 657.60
  4. Step 4: Simplify right side
    1,523.36x = 1,502,379.26
  5. Step 5: Solve for x
    x = 1,502,379.26/1,523.36
  6. Step 6: Final answer
    x = 986.23

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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.