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Finding the Fourth Proportional to 1,157.56, 1,598.75 and 897.55

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Solution

The fourth proportional to 1,157.56, 1,598.75 and 897.55 is: 1,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.56 : 1,598.75 = 897.55 : x
  2. Step 2: Convert to fraction form
    1,157.56/1,598.75 = 897.55/x
  3. Step 3: Cross multiply
    1,157.56x = 1,598.75 × 897.55
  4. Step 4: Simplify right side
    1,157.56x = 1,434,958.06
  5. Step 5: Solve for x
    x = 1,434,958.06/1,157.56
  6. Step 6: Final answer
    x = 1,239.64

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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.