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Finding the Fourth Proportional to 673.51, 1,009.71 and 467.47

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Solution

The fourth proportional to 673.51, 1,009.71 and 467.47 is: 700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.51 : 1,009.71 = 467.47 : x
  2. Step 2: Convert to fraction form
    673.51/1,009.71 = 467.47/x
  3. Step 3: Cross multiply
    673.51x = 1,009.71 × 467.47
  4. Step 4: Simplify right side
    673.51x = 472,009.13
  5. Step 5: Solve for x
    x = 472,009.13/673.51
  6. Step 6: Final answer
    x = 700.82

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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.