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Finding the Fourth Proportional to 673.65, 1,010.16 and 469.53

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Solution

The fourth proportional to 673.65, 1,010.16 and 469.53 is: 704.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.65 : 1,010.16 = 469.53 : x
  2. Step 2: Convert to fraction form
    673.65/1,010.16 = 469.53/x
  3. Step 3: Cross multiply
    673.65x = 1,010.16 × 469.53
  4. Step 4: Simplify right side
    673.65x = 474,300.42
  5. Step 5: Solve for x
    x = 474,300.42/673.65
  6. Step 6: Final answer
    x = 704.08

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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.