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Finding the Fourth Proportional to 1,146.99, 1,583.64 and 1,073.55

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Solution

The fourth proportional to 1,146.99, 1,583.64 and 1,073.55 is: 1,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.99 : 1,583.64 = 1,073.55 : x
  2. Step 2: Convert to fraction form
    1,146.99/1,583.64 = 1,073.55/x
  3. Step 3: Cross multiply
    1,146.99x = 1,583.64 × 1,073.55
  4. Step 4: Simplify right side
    1,146.99x = 1,700,116.72
  5. Step 5: Solve for x
    x = 1,700,116.72/1,146.99
  6. Step 6: Final answer
    x = 1,482.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.