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Finding the Fourth Proportional to 958.13, 1,322.55 and 565.13

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Solution

The fourth proportional to 958.13, 1,322.55 and 565.13 is: 780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.13 : 1,322.55 = 565.13 : x
  2. Step 2: Convert to fraction form
    958.13/1,322.55 = 565.13/x
  3. Step 3: Cross multiply
    958.13x = 1,322.55 × 565.13
  4. Step 4: Simplify right side
    958.13x = 747,412.68
  5. Step 5: Solve for x
    x = 747,412.68/958.13
  6. Step 6: Final answer
    x = 780.07

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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.