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Finding the Fourth Proportional to 1,567.22, 2,351.03 and 526.77

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Solution

The fourth proportional to 1,567.22, 2,351.03 and 526.77 is: 790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.22 : 2,351.03 = 526.77 : x
  2. Step 2: Convert to fraction form
    1,567.22/2,351.03 = 526.77/x
  3. Step 3: Cross multiply
    1,567.22x = 2,351.03 × 526.77
  4. Step 4: Simplify right side
    1,567.22x = 1,238,456.63
  5. Step 5: Solve for x
    x = 1,238,456.63/1,567.22
  6. Step 6: Final answer
    x = 790.23

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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.