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Finding the Fourth Proportional to 925.34, 1,386.62 and 559.72

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Solution

The fourth proportional to 925.34, 1,386.62 and 559.72 is: 838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.34 : 1,386.62 = 559.72 : x
  2. Step 2: Convert to fraction form
    925.34/1,386.62 = 559.72/x
  3. Step 3: Cross multiply
    925.34x = 1,386.62 × 559.72
  4. Step 4: Simplify right side
    925.34x = 776,118.95
  5. Step 5: Solve for x
    x = 776,118.95/925.34
  6. Step 6: Final answer
    x = 838.74

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