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Finding the Fourth Proportional to 673.59, 1,010.23 and 470.01

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Solution

The fourth proportional to 673.59, 1,010.23 and 470.01 is: 704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.59 : 1,010.23 = 470.01 : x
  2. Step 2: Convert to fraction form
    673.59/1,010.23 = 470.01/x
  3. Step 3: Cross multiply
    673.59x = 1,010.23 × 470.01
  4. Step 4: Simplify right side
    673.59x = 474,818.20
  5. Step 5: Solve for x
    x = 474,818.20/673.59
  6. Step 6: Final answer
    x = 704.91

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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.