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Finding the Fourth Proportional to 1,061.95, 1,465.61 and 1,027.93

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Solution

The fourth proportional to 1,061.95, 1,465.61 and 1,027.93 is: 1,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.95 : 1,465.61 = 1,027.93 : x
  2. Step 2: Convert to fraction form
    1,061.95/1,465.61 = 1,027.93/x
  3. Step 3: Cross multiply
    1,061.95x = 1,465.61 × 1,027.93
  4. Step 4: Simplify right side
    1,061.95x = 1,506,544.49
  5. Step 5: Solve for x
    x = 1,506,544.49/1,061.95
  6. Step 6: Final answer
    x = 1,418.66

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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.