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Finding the Fourth Proportional to 1,005.02, 1,387.50 and 674.54

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Solution

The fourth proportional to 1,005.02, 1,387.50 and 674.54 is: 931.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.02 : 1,387.50 = 674.54 : x
  2. Step 2: Convert to fraction form
    1,005.02/1,387.50 = 674.54/x
  3. Step 3: Cross multiply
    1,005.02x = 1,387.50 × 674.54
  4. Step 4: Simplify right side
    1,005.02x = 935,924.25
  5. Step 5: Solve for x
    x = 935,924.25/1,005.02
  6. Step 6: Final answer
    x = 931.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.