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Finding the Fourth Proportional to 1,054.62, 1,580.49 and 584.98

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Solution

The fourth proportional to 1,054.62, 1,580.49 and 584.98 is: 876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.62 : 1,580.49 = 584.98 : x
  2. Step 2: Convert to fraction form
    1,054.62/1,580.49 = 584.98/x
  3. Step 3: Cross multiply
    1,054.62x = 1,580.49 × 584.98
  4. Step 4: Simplify right side
    1,054.62x = 924,557.59
  5. Step 5: Solve for x
    x = 924,557.59/1,054.62
  6. Step 6: Final answer
    x = 876.68

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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.