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Finding the Fourth Proportional to 1,006.99, 1,508.25 and 774.16

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Solution

The fourth proportional to 1,006.99, 1,508.25 and 774.16 is: 1,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.99 : 1,508.25 = 774.16 : x
  2. Step 2: Convert to fraction form
    1,006.99/1,508.25 = 774.16/x
  3. Step 3: Cross multiply
    1,006.99x = 1,508.25 × 774.16
  4. Step 4: Simplify right side
    1,006.99x = 1,167,623.05
  5. Step 5: Solve for x
    x = 1,167,623.05/1,006.99
  6. Step 6: Final answer
    x = 1,159.52

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1.5x scale

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.