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Finding the Fourth Proportional to 1,145.04, 1,714.77 and 1,034.11

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Solution

The fourth proportional to 1,145.04, 1,714.77 and 1,034.11 is: 1,548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.04 : 1,714.77 = 1,034.11 : x
  2. Step 2: Convert to fraction form
    1,145.04/1,714.77 = 1,034.11/x
  3. Step 3: Cross multiply
    1,145.04x = 1,714.77 × 1,034.11
  4. Step 4: Simplify right side
    1,145.04x = 1,773,258.13
  5. Step 5: Solve for x
    x = 1,773,258.13/1,145.04
  6. Step 6: Final answer
    x = 1,548.64

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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.