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Finding the Fourth Proportional to 1,083.95, 1,495.85 and 586.59

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Solution

The fourth proportional to 1,083.95, 1,495.85 and 586.59 is: 809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.95 : 1,495.85 = 586.59 : x
  2. Step 2: Convert to fraction form
    1,083.95/1,495.85 = 586.59/x
  3. Step 3: Cross multiply
    1,083.95x = 1,495.85 × 586.59
  4. Step 4: Simplify right side
    1,083.95x = 877,440.24
  5. Step 5: Solve for x
    x = 877,440.24/1,083.95
  6. Step 6: Final answer
    x = 809.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.