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Finding the Fourth Proportional to 1,256.95, 1,885.80 and 526.72

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Solution

The fourth proportional to 1,256.95, 1,885.80 and 526.72 is: 790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.95 : 1,885.80 = 526.72 : x
  2. Step 2: Convert to fraction form
    1,256.95/1,885.80 = 526.72/x
  3. Step 3: Cross multiply
    1,256.95x = 1,885.80 × 526.72
  4. Step 4: Simplify right side
    1,256.95x = 993,288.58
  5. Step 5: Solve for x
    x = 993,288.58/1,256.95
  6. Step 6: Final answer
    x = 790.24

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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.