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Finding the Fourth Proportional to 925.14, 1,386.74 and 405.06

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Solution

The fourth proportional to 925.14, 1,386.74 and 405.06 is: 607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.14 : 1,386.74 = 405.06 : x
  2. Step 2: Convert to fraction form
    925.14/1,386.74 = 405.06/x
  3. Step 3: Cross multiply
    925.14x = 1,386.74 × 405.06
  4. Step 4: Simplify right side
    925.14x = 561,712.90
  5. Step 5: Solve for x
    x = 561,712.90/925.14
  6. Step 6: Final answer
    x = 607.17

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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.