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Finding the Fourth Proportional to 715.76, 987.74 and 405.26

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Solution

The fourth proportional to 715.76, 987.74 and 405.26 is: 559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.76 : 987.74 = 405.26 : x
  2. Step 2: Convert to fraction form
    715.76/987.74 = 405.26/x
  3. Step 3: Cross multiply
    715.76x = 987.74 × 405.26
  4. Step 4: Simplify right side
    715.76x = 400,291.51
  5. Step 5: Solve for x
    x = 400,291.51/715.76
  6. Step 6: Final answer
    x = 559.25

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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.