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Finding the Fourth Proportional to 1,284.10, 1,924.80 and 503.80

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Solution

The fourth proportional to 1,284.10, 1,924.80 and 503.80 is: 755.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.10 : 1,924.80 = 503.80 : x
  2. Step 2: Convert to fraction form
    1,284.10/1,924.80 = 503.80/x
  3. Step 3: Cross multiply
    1,284.10x = 1,924.80 × 503.80
  4. Step 4: Simplify right side
    1,284.10x = 969,714.24
  5. Step 5: Solve for x
    x = 969,714.24/1,284.10
  6. Step 6: Final answer
    x = 755.17

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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.