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Finding the Fourth Proportional to 1,137.35, 1,706.69 and 479.18

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Solution

The fourth proportional to 1,137.35, 1,706.69 and 479.18 is: 719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.35 : 1,706.69 = 479.18 : x
  2. Step 2: Convert to fraction form
    1,137.35/1,706.69 = 479.18/x
  3. Step 3: Cross multiply
    1,137.35x = 1,706.69 × 479.18
  4. Step 4: Simplify right side
    1,137.35x = 817,814.48
  5. Step 5: Solve for x
    x = 817,814.48/1,137.35
  6. Step 6: Final answer
    x = 719.05

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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.