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Finding the Fourth Proportional to 973.68, 1,343.64 and 575.60

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Solution

The fourth proportional to 973.68, 1,343.64 and 575.60 is: 794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.68 : 1,343.64 = 575.60 : x
  2. Step 2: Convert to fraction form
    973.68/1,343.64 = 575.60/x
  3. Step 3: Cross multiply
    973.68x = 1,343.64 × 575.60
  4. Step 4: Simplify right side
    973.68x = 773,399.18
  5. Step 5: Solve for x
    x = 773,399.18/973.68
  6. Step 6: Final answer
    x = 794.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.