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Finding the Fourth Proportional to 858, 1,183.59 and 577.76

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Solution

The fourth proportional to 858, 1,183.59 and 577.76 is: 797.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    858 : 1,183.59 = 577.76 : x
  2. Step 2: Convert to fraction form
    858/1,183.59 = 577.76/x
  3. Step 3: Cross multiply
    858x = 1,183.59 × 577.76
  4. Step 4: Simplify right side
    858x = 683,825.04
  5. Step 5: Solve for x
    x = 683,825.04/858
  6. Step 6: Final answer
    x = 797.00

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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.