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Finding the Fourth Proportional to 944.16, 1,303.20 and 571.08

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Solution

The fourth proportional to 944.16, 1,303.20 and 571.08 is: 788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.16 : 1,303.20 = 571.08 : x
  2. Step 2: Convert to fraction form
    944.16/1,303.20 = 571.08/x
  3. Step 3: Cross multiply
    944.16x = 1,303.20 × 571.08
  4. Step 4: Simplify right side
    944.16x = 744,231.46
  5. Step 5: Solve for x
    x = 744,231.46/944.16
  6. Step 6: Final answer
    x = 788.25

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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.