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Finding the Fourth Proportional to 1,165.04, 1,740.08 and 1,055.12

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Solution

The fourth proportional to 1,165.04, 1,740.08 and 1,055.12 is: 1,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.04 : 1,740.08 = 1,055.12 : x
  2. Step 2: Convert to fraction form
    1,165.04/1,740.08 = 1,055.12/x
  3. Step 3: Cross multiply
    1,165.04x = 1,740.08 × 1,055.12
  4. Step 4: Simplify right side
    1,165.04x = 1,835,993.21
  5. Step 5: Solve for x
    x = 1,835,993.21/1,165.04
  6. Step 6: Final answer
    x = 1,575.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.