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Finding the Fourth Proportional to 941.40, 1,298.86 and 610.02

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Solution

The fourth proportional to 941.40, 1,298.86 and 610.02 is: 841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.40 : 1,298.86 = 610.02 : x
  2. Step 2: Convert to fraction form
    941.40/1,298.86 = 610.02/x
  3. Step 3: Cross multiply
    941.40x = 1,298.86 × 610.02
  4. Step 4: Simplify right side
    941.40x = 792,330.58
  5. Step 5: Solve for x
    x = 792,330.58/941.40
  6. Step 6: Final answer
    x = 841.65

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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.