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Finding the Fourth Proportional to 941.60, 1,298.36 and 693.07

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Solution

The fourth proportional to 941.60, 1,298.36 and 693.07 is: 955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.60 : 1,298.36 = 693.07 : x
  2. Step 2: Convert to fraction form
    941.60/1,298.36 = 693.07/x
  3. Step 3: Cross multiply
    941.60x = 1,298.36 × 693.07
  4. Step 4: Simplify right side
    941.60x = 899,844.41
  5. Step 5: Solve for x
    x = 899,844.41/941.60
  6. Step 6: Final answer
    x = 955.65

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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.