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Finding the Fourth Proportional to 941.16, 1,298.77 and 521.53

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Solution

The fourth proportional to 941.16, 1,298.77 and 521.53 is: 719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.16 : 1,298.77 = 521.53 : x
  2. Step 2: Convert to fraction form
    941.16/1,298.77 = 521.53/x
  3. Step 3: Cross multiply
    941.16x = 1,298.77 × 521.53
  4. Step 4: Simplify right side
    941.16x = 677,338.42
  5. Step 5: Solve for x
    x = 677,338.42/941.16
  6. Step 6: Final answer
    x = 719.69

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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.