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Finding the Fourth Proportional to 668.48, 1,001.60 and 437.08

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Solution

The fourth proportional to 668.48, 1,001.60 and 437.08 is: 654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.48 : 1,001.60 = 437.08 : x
  2. Step 2: Convert to fraction form
    668.48/1,001.60 = 437.08/x
  3. Step 3: Cross multiply
    668.48x = 1,001.60 × 437.08
  4. Step 4: Simplify right side
    668.48x = 437,779.33
  5. Step 5: Solve for x
    x = 437,779.33/668.48
  6. Step 6: Final answer
    x = 654.89

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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.