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Finding the Fourth Proportional to 1,215.93, 1,823.93 and 435.99

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Solution

The fourth proportional to 1,215.93, 1,823.93 and 435.99 is: 654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.93 : 1,823.93 = 435.99 : x
  2. Step 2: Convert to fraction form
    1,215.93/1,823.93 = 435.99/x
  3. Step 3: Cross multiply
    1,215.93x = 1,823.93 × 435.99
  4. Step 4: Simplify right side
    1,215.93x = 795,215.24
  5. Step 5: Solve for x
    x = 795,215.24/1,215.93
  6. Step 6: Final answer
    x = 654.00

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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.