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Finding the Fourth Proportional to 673.51, 1,010.08 and 477.93

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Solution

The fourth proportional to 673.51, 1,010.08 and 477.93 is: 716.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.51 : 1,010.08 = 477.93 : x
  2. Step 2: Convert to fraction form
    673.51/1,010.08 = 477.93/x
  3. Step 3: Cross multiply
    673.51x = 1,010.08 × 477.93
  4. Step 4: Simplify right side
    673.51x = 482,747.53
  5. Step 5: Solve for x
    x = 482,747.53/673.51
  6. Step 6: Final answer
    x = 716.76

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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.