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Finding the Fourth Proportional to 1,215.06, 1,823.48 and 435.07

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Solution

The fourth proportional to 1,215.06, 1,823.48 and 435.07 is: 652.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.06 : 1,823.48 = 435.07 : x
  2. Step 2: Convert to fraction form
    1,215.06/1,823.48 = 435.07/x
  3. Step 3: Cross multiply
    1,215.06x = 1,823.48 × 435.07
  4. Step 4: Simplify right side
    1,215.06x = 793,341.44
  5. Step 5: Solve for x
    x = 793,341.44/1,215.06
  6. Step 6: Final answer
    x = 652.92

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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.