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Finding the Fourth Proportional to 1,220.07, 1,829.79 and 526.98

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Solution

The fourth proportional to 1,220.07, 1,829.79 and 526.98 is: 790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.07 : 1,829.79 = 526.98 : x
  2. Step 2: Convert to fraction form
    1,220.07/1,829.79 = 526.98/x
  3. Step 3: Cross multiply
    1,220.07x = 1,829.79 × 526.98
  4. Step 4: Simplify right side
    1,220.07x = 964,262.73
  5. Step 5: Solve for x
    x = 964,262.73/1,220.07
  6. Step 6: Final answer
    x = 790.33

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