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Finding the Fourth Proportional to 1,558.93, 2,337.71 and 584.35

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Solution

The fourth proportional to 1,558.93, 2,337.71 and 584.35 is: 876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.93 : 2,337.71 = 584.35 : x
  2. Step 2: Convert to fraction form
    1,558.93/2,337.71 = 584.35/x
  3. Step 3: Cross multiply
    1,558.93x = 2,337.71 × 584.35
  4. Step 4: Simplify right side
    1,558.93x = 1,366,040.84
  5. Step 5: Solve for x
    x = 1,366,040.84/1,558.93
  6. Step 6: Final answer
    x = 876.27

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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.