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Finding the Fourth Proportional to 1,177.42, 1,624.89 and 805.18

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Solution

The fourth proportional to 1,177.42, 1,624.89 and 805.18 is: 1,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.42 : 1,624.89 = 805.18 : x
  2. Step 2: Convert to fraction form
    1,177.42/1,624.89 = 805.18/x
  3. Step 3: Cross multiply
    1,177.42x = 1,624.89 × 805.18
  4. Step 4: Simplify right side
    1,177.42x = 1,308,328.93
  5. Step 5: Solve for x
    x = 1,308,328.93/1,177.42
  6. Step 6: Final answer
    x = 1,111.18

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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.