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Finding the Fourth Proportional to 1,256.90, 1,886.13 and 564.02

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Solution

The fourth proportional to 1,256.90, 1,886.13 and 564.02 is: 846.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.90 : 1,886.13 = 564.02 : x
  2. Step 2: Convert to fraction form
    1,256.90/1,886.13 = 564.02/x
  3. Step 3: Cross multiply
    1,256.90x = 1,886.13 × 564.02
  4. Step 4: Simplify right side
    1,256.90x = 1,063,815.04
  5. Step 5: Solve for x
    x = 1,063,815.04/1,256.90
  6. Step 6: Final answer
    x = 846.38

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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.