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Finding the Fourth Proportional to 934.77, 1,403.10 and 587.28

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Solution

The fourth proportional to 934.77, 1,403.10 and 587.28 is: 881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.77 : 1,403.10 = 587.28 : x
  2. Step 2: Convert to fraction form
    934.77/1,403.10 = 587.28/x
  3. Step 3: Cross multiply
    934.77x = 1,403.10 × 587.28
  4. Step 4: Simplify right side
    934.77x = 824,012.57
  5. Step 5: Solve for x
    x = 824,012.57/934.77
  6. Step 6: Final answer
    x = 881.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.