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Finding the Fourth Proportional to 1,005.14, 1,507.80 and 274.72

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Solution

The fourth proportional to 1,005.14, 1,507.80 and 274.72 is: 412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.14 : 1,507.80 = 274.72 : x
  2. Step 2: Convert to fraction form
    1,005.14/1,507.80 = 274.72/x
  3. Step 3: Cross multiply
    1,005.14x = 1,507.80 × 274.72
  4. Step 4: Simplify right side
    1,005.14x = 414,222.82
  5. Step 5: Solve for x
    x = 414,222.82/1,005.14
  6. Step 6: Final answer
    x = 412.10

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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.