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Finding the Fourth Proportional to 1,134.58, 1,562.14 and 1,030.77

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Solution

The fourth proportional to 1,134.58, 1,562.14 and 1,030.77 is: 1,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.58 : 1,562.14 = 1,030.77 : x
  2. Step 2: Convert to fraction form
    1,134.58/1,562.14 = 1,030.77/x
  3. Step 3: Cross multiply
    1,134.58x = 1,562.14 × 1,030.77
  4. Step 4: Simplify right side
    1,134.58x = 1,610,201.89
  5. Step 5: Solve for x
    x = 1,610,201.89/1,134.58
  6. Step 6: Final answer
    x = 1,419.21

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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.