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Finding the Fourth Proportional to 1,257.09, 1,886.11 and 526.61

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Solution

The fourth proportional to 1,257.09, 1,886.11 and 526.61 is: 790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.09 : 1,886.11 = 526.61 : x
  2. Step 2: Convert to fraction form
    1,257.09/1,886.11 = 526.61/x
  3. Step 3: Cross multiply
    1,257.09x = 1,886.11 × 526.61
  4. Step 4: Simplify right side
    1,257.09x = 993,233.64
  5. Step 5: Solve for x
    x = 993,233.64/1,257.09
  6. Step 6: Final answer
    x = 790.11

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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.