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Finding the Fourth Proportional to 1,055.72, 1,582.52 and 709.22

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Solution

The fourth proportional to 1,055.72, 1,582.52 and 709.22 is: 1,063.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.72 : 1,582.52 = 709.22 : x
  2. Step 2: Convert to fraction form
    1,055.72/1,582.52 = 709.22/x
  3. Step 3: Cross multiply
    1,055.72x = 1,582.52 × 709.22
  4. Step 4: Simplify right side
    1,055.72x = 1,122,354.83
  5. Step 5: Solve for x
    x = 1,122,354.83/1,055.72
  6. Step 6: Final answer
    x = 1,063.12

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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.