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Finding the Fourth Proportional to 1,256.34, 1,884.52 and 390.66

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Solution

The fourth proportional to 1,256.34, 1,884.52 and 390.66 is: 585.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.34 : 1,884.52 = 390.66 : x
  2. Step 2: Convert to fraction form
    1,256.34/1,884.52 = 390.66/x
  3. Step 3: Cross multiply
    1,256.34x = 1,884.52 × 390.66
  4. Step 4: Simplify right side
    1,256.34x = 736,200.00
  5. Step 5: Solve for x
    x = 736,200.00/1,256.34
  6. Step 6: Final answer
    x = 585.99

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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.