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Finding the Fourth Proportional to 1,158.55, 1,736.59 and 464.94

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Solution

The fourth proportional to 1,158.55, 1,736.59 and 464.94 is: 696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.55 : 1,736.59 = 464.94 : x
  2. Step 2: Convert to fraction form
    1,158.55/1,736.59 = 464.94/x
  3. Step 3: Cross multiply
    1,158.55x = 1,736.59 × 464.94
  4. Step 4: Simplify right side
    1,158.55x = 807,409.86
  5. Step 5: Solve for x
    x = 807,409.86/1,158.55
  6. Step 6: Final answer
    x = 696.91

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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.