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Finding the Fourth Proportional to 1,269, 1,903.74 and 585

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Solution

The fourth proportional to 1,269, 1,903.74 and 585 is: 877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269 : 1,903.74 = 585 : x
  2. Step 2: Convert to fraction form
    1,269/1,903.74 = 585/x
  3. Step 3: Cross multiply
    1,269x = 1,903.74 × 585
  4. Step 4: Simplify right side
    1,269x = 1,113,687.90
  5. Step 5: Solve for x
    x = 1,113,687.90/1,269
  6. Step 6: Final answer
    x = 877.61

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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.