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Finding the Fourth Proportional to 1,218.47, 1,826.33 and 525.02

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Solution

The fourth proportional to 1,218.47, 1,826.33 and 525.02 is: 786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.47 : 1,826.33 = 525.02 : x
  2. Step 2: Convert to fraction form
    1,218.47/1,826.33 = 525.02/x
  3. Step 3: Cross multiply
    1,218.47x = 1,826.33 × 525.02
  4. Step 4: Simplify right side
    1,218.47x = 958,848.02
  5. Step 5: Solve for x
    x = 958,848.02/1,218.47
  6. Step 6: Final answer
    x = 786.93

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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.