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Finding the Fourth Proportional to 1,318.24, 1,975.93 and 586.81

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Solution

The fourth proportional to 1,318.24, 1,975.93 and 586.81 is: 879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.24 : 1,975.93 = 586.81 : x
  2. Step 2: Convert to fraction form
    1,318.24/1,975.93 = 586.81/x
  3. Step 3: Cross multiply
    1,318.24x = 1,975.93 × 586.81
  4. Step 4: Simplify right side
    1,318.24x = 1,159,495.48
  5. Step 5: Solve for x
    x = 1,159,495.48/1,318.24
  6. Step 6: Final answer
    x = 879.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.