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Finding the Fourth Proportional to 1,215.52, 1,823.07 and 435.35

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Solution

The fourth proportional to 1,215.52, 1,823.07 and 435.35 is: 652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.52 : 1,823.07 = 435.35 : x
  2. Step 2: Convert to fraction form
    1,215.52/1,823.07 = 435.35/x
  3. Step 3: Cross multiply
    1,215.52x = 1,823.07 × 435.35
  4. Step 4: Simplify right side
    1,215.52x = 793,673.52
  5. Step 5: Solve for x
    x = 793,673.52/1,215.52
  6. Step 6: Final answer
    x = 652.95

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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.