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Finding the Fourth Proportional to 1,008.93, 1,511.82 and 970.98

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Solution

The fourth proportional to 1,008.93, 1,511.82 and 970.98 is: 1,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.93 : 1,511.82 = 970.98 : x
  2. Step 2: Convert to fraction form
    1,008.93/1,511.82 = 970.98/x
  3. Step 3: Cross multiply
    1,008.93x = 1,511.82 × 970.98
  4. Step 4: Simplify right side
    1,008.93x = 1,467,946.98
  5. Step 5: Solve for x
    x = 1,467,946.98/1,008.93
  6. Step 6: Final answer
    x = 1,454.95

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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.