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Finding the Fourth Proportional to 1,569.51, 2,165.99 and 897.42

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Solution

The fourth proportional to 1,569.51, 2,165.99 and 897.42 is: 1,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.51 : 2,165.99 = 897.42 : x
  2. Step 2: Convert to fraction form
    1,569.51/2,165.99 = 897.42/x
  3. Step 3: Cross multiply
    1,569.51x = 2,165.99 × 897.42
  4. Step 4: Simplify right side
    1,569.51x = 1,943,806.38
  5. Step 5: Solve for x
    x = 1,943,806.38/1,569.51
  6. Step 6: Final answer
    x = 1,238.48

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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.