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Finding the Fourth Proportional to 1,007.01, 1,510.31 and 276.49

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Solution

The fourth proportional to 1,007.01, 1,510.31 and 276.49 is: 414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.01 : 1,510.31 = 276.49 : x
  2. Step 2: Convert to fraction form
    1,007.01/1,510.31 = 276.49/x
  3. Step 3: Cross multiply
    1,007.01x = 1,510.31 × 276.49
  4. Step 4: Simplify right side
    1,007.01x = 417,588.19
  5. Step 5: Solve for x
    x = 417,588.19/1,007.01
  6. Step 6: Final answer
    x = 414.68

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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.