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Finding the Fourth Proportional to 1,146.38, 1,718.94 and 529.98

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Solution

The fourth proportional to 1,146.38, 1,718.94 and 529.98 is: 794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.38 : 1,718.94 = 529.98 : x
  2. Step 2: Convert to fraction form
    1,146.38/1,718.94 = 529.98/x
  3. Step 3: Cross multiply
    1,146.38x = 1,718.94 × 529.98
  4. Step 4: Simplify right side
    1,146.38x = 911,003.82
  5. Step 5: Solve for x
    x = 911,003.82/1,146.38
  6. Step 6: Final answer
    x = 794.68

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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.