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Finding the Fourth Proportional to 1,492.66, 2,059.32 and 968.50

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Solution

The fourth proportional to 1,492.66, 2,059.32 and 968.50 is: 1,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.66 : 2,059.32 = 968.50 : x
  2. Step 2: Convert to fraction form
    1,492.66/2,059.32 = 968.50/x
  3. Step 3: Cross multiply
    1,492.66x = 2,059.32 × 968.50
  4. Step 4: Simplify right side
    1,492.66x = 1,994,451.42
  5. Step 5: Solve for x
    x = 1,994,451.42/1,492.66
  6. Step 6: Final answer
    x = 1,336.17

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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.