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Finding the Fourth Proportional to 1,565.01, 2,158.92 and 901.45

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Solution

The fourth proportional to 1,565.01, 2,158.92 and 901.45 is: 1,243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.01 : 2,158.92 = 901.45 : x
  2. Step 2: Convert to fraction form
    1,565.01/2,158.92 = 901.45/x
  3. Step 3: Cross multiply
    1,565.01x = 2,158.92 × 901.45
  4. Step 4: Simplify right side
    1,565.01x = 1,946,158.43
  5. Step 5: Solve for x
    x = 1,946,158.43/1,565.01
  6. Step 6: Final answer
    x = 1,243.54

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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.