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Finding the Fourth Proportional to 1,007.30, 1,510.99 and 276.89

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Solution

The fourth proportional to 1,007.30, 1,510.99 and 276.89 is: 415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.30 : 1,510.99 = 276.89 : x
  2. Step 2: Convert to fraction form
    1,007.30/1,510.99 = 276.89/x
  3. Step 3: Cross multiply
    1,007.30x = 1,510.99 × 276.89
  4. Step 4: Simplify right side
    1,007.30x = 418,369.77
  5. Step 5: Solve for x
    x = 418,369.77/1,007.30
  6. Step 6: Final answer
    x = 415.34

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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.