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Finding the Fourth Proportional to 1,007.61, 1,511.46 and 277.17

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Solution

The fourth proportional to 1,007.61, 1,511.46 and 277.17 is: 415.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.61 : 1,511.46 = 277.17 : x
  2. Step 2: Convert to fraction form
    1,007.61/1,511.46 = 277.17/x
  3. Step 3: Cross multiply
    1,007.61x = 1,511.46 × 277.17
  4. Step 4: Simplify right side
    1,007.61x = 418,931.37
  5. Step 5: Solve for x
    x = 418,931.37/1,007.61
  6. Step 6: Final answer
    x = 415.77

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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.