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Finding the Fourth Proportional to 674.09, 1,009.51 and 457.01

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Solution

The fourth proportional to 674.09, 1,009.51 and 457.01 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.09 : 1,009.51 = 457.01 : x
  2. Step 2: Convert to fraction form
    674.09/1,009.51 = 457.01/x
  3. Step 3: Cross multiply
    674.09x = 1,009.51 × 457.01
  4. Step 4: Simplify right side
    674.09x = 461,356.17
  5. Step 5: Solve for x
    x = 461,356.17/674.09
  6. Step 6: Final answer
    x = 684.41

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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.