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Finding the Fourth Proportional to 1,569.28, 2,354.01 and 415

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Solution

The fourth proportional to 1,569.28, 2,354.01 and 415 is: 622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.28 : 2,354.01 = 415 : x
  2. Step 2: Convert to fraction form
    1,569.28/2,354.01 = 415/x
  3. Step 3: Cross multiply
    1,569.28x = 2,354.01 × 415
  4. Step 4: Simplify right side
    1,569.28x = 976,914.15
  5. Step 5: Solve for x
    x = 976,914.15/1,569.28
  6. Step 6: Final answer
    x = 622.52

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Half scale
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Double scale
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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.