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Finding the Fourth Proportional to 941, 1,298.64 and 527

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Solution

The fourth proportional to 941, 1,298.64 and 527 is: 727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    941 : 1,298.64 = 527 : x
  2. Step 2: Convert to fraction form
    941/1,298.64 = 527/x
  3. Step 3: Cross multiply
    941x = 1,298.64 × 527
  4. Step 4: Simplify right side
    941x = 684,383.28
  5. Step 5: Solve for x
    x = 684,383.28/941
  6. Step 6: Final answer
    x = 727.29

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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.