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Finding the Fourth Proportional to 673.55, 1,009.15 and 468.25

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Solution

The fourth proportional to 673.55, 1,009.15 and 468.25 is: 701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.55 : 1,009.15 = 468.25 : x
  2. Step 2: Convert to fraction form
    673.55/1,009.15 = 468.25/x
  3. Step 3: Cross multiply
    673.55x = 1,009.15 × 468.25
  4. Step 4: Simplify right side
    673.55x = 472,530.79
  5. Step 5: Solve for x
    x = 472,530.79/673.55
  6. Step 6: Final answer
    x = 701.56

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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.