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Finding the Fourth Proportional to 1,044.22, 1,566.41 and 350.86

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Solution

The fourth proportional to 1,044.22, 1,566.41 and 350.86 is: 526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.22 : 1,566.41 = 350.86 : x
  2. Step 2: Convert to fraction form
    1,044.22/1,566.41 = 350.86/x
  3. Step 3: Cross multiply
    1,044.22x = 1,566.41 × 350.86
  4. Step 4: Simplify right side
    1,044.22x = 549,590.61
  5. Step 5: Solve for x
    x = 549,590.61/1,044.22
  6. Step 6: Final answer
    x = 526.32

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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.