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Finding the Fourth Proportional to 1,558.76, 2,337.06 and 584.60

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Solution

The fourth proportional to 1,558.76, 2,337.06 and 584.60 is: 876.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.76 : 2,337.06 = 584.60 : x
  2. Step 2: Convert to fraction form
    1,558.76/2,337.06 = 584.60/x
  3. Step 3: Cross multiply
    1,558.76x = 2,337.06 × 584.60
  4. Step 4: Simplify right side
    1,558.76x = 1,366,253.31
  5. Step 5: Solve for x
    x = 1,366,253.31/1,558.76
  6. Step 6: Final answer
    x = 876.50

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Why These Related Problems?

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