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Finding the Fourth Proportional to 1,569.35, 2,165.63 and 906.30

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Solution

The fourth proportional to 1,569.35, 2,165.63 and 906.30 is: 1,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.35 : 2,165.63 = 906.30 : x
  2. Step 2: Convert to fraction form
    1,569.35/2,165.63 = 906.30/x
  3. Step 3: Cross multiply
    1,569.35x = 2,165.63 × 906.30
  4. Step 4: Simplify right side
    1,569.35x = 1,962,705.94
  5. Step 5: Solve for x
    x = 1,962,705.94/1,569.35
  6. Step 6: Final answer
    x = 1,250.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.