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Finding the Fourth Proportional to 1,191.65, 1,784.42 and 705.05

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Solution

The fourth proportional to 1,191.65, 1,784.42 and 705.05 is: 1,055.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.65 : 1,784.42 = 705.05 : x
  2. Step 2: Convert to fraction form
    1,191.65/1,784.42 = 705.05/x
  3. Step 3: Cross multiply
    1,191.65x = 1,784.42 × 705.05
  4. Step 4: Simplify right side
    1,191.65x = 1,258,098.16
  5. Step 5: Solve for x
    x = 1,258,098.16/1,191.65
  6. Step 6: Final answer
    x = 1,055.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.