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Finding the Fourth Proportional to 944.00, 1,303.20 and 590.12

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Solution

The fourth proportional to 944.00, 1,303.20 and 590.12 is: 814.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.00 : 1,303.20 = 590.12 : x
  2. Step 2: Convert to fraction form
    944.00/1,303.20 = 590.12/x
  3. Step 3: Cross multiply
    944.00x = 1,303.20 × 590.12
  4. Step 4: Simplify right side
    944.00x = 769,045.48
  5. Step 5: Solve for x
    x = 769,045.48/944.00
  6. Step 6: Final answer
    x = 814.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.