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Finding the Fourth Proportional to 941.25, 1,298.93 and 568.24

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Solution

The fourth proportional to 941.25, 1,298.93 and 568.24 is: 784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.25 : 1,298.93 = 568.24 : x
  2. Step 2: Convert to fraction form
    941.25/1,298.93 = 568.24/x
  3. Step 3: Cross multiply
    941.25x = 1,298.93 × 568.24
  4. Step 4: Simplify right side
    941.25x = 738,097.89
  5. Step 5: Solve for x
    x = 738,097.89/941.25
  6. Step 6: Final answer
    x = 784.17

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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.