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Finding the Fourth Proportional to 1,084.68, 1,625.58 and 435.06

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Solution

The fourth proportional to 1,084.68, 1,625.58 and 435.06 is: 652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.68 : 1,625.58 = 435.06 : x
  2. Step 2: Convert to fraction form
    1,084.68/1,625.58 = 435.06/x
  3. Step 3: Cross multiply
    1,084.68x = 1,625.58 × 435.06
  4. Step 4: Simplify right side
    1,084.68x = 707,224.83
  5. Step 5: Solve for x
    x = 707,224.83/1,084.68
  6. Step 6: Final answer
    x = 652.01

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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.