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Finding the Fourth Proportional to 870.49, 1,201.26 and 477.51

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Solution

The fourth proportional to 870.49, 1,201.26 and 477.51 is: 658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.49 : 1,201.26 = 477.51 : x
  2. Step 2: Convert to fraction form
    870.49/1,201.26 = 477.51/x
  3. Step 3: Cross multiply
    870.49x = 1,201.26 × 477.51
  4. Step 4: Simplify right side
    870.49x = 573,613.66
  5. Step 5: Solve for x
    x = 573,613.66/870.49
  6. Step 6: Final answer
    x = 658.95

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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.