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Finding the Fourth Proportional to 1,256.86, 1,884.08 and 527.08

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Solution

The fourth proportional to 1,256.86, 1,884.08 and 527.08 is: 790.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.86 : 1,884.08 = 527.08 : x
  2. Step 2: Convert to fraction form
    1,256.86/1,884.08 = 527.08/x
  3. Step 3: Cross multiply
    1,256.86x = 1,884.08 × 527.08
  4. Step 4: Simplify right side
    1,256.86x = 993,060.89
  5. Step 5: Solve for x
    x = 993,060.89/1,256.86
  6. Step 6: Final answer
    x = 790.11

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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.