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Finding the Fourth Proportional to 873.90, 1,309.82 and 435.02

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Solution

The fourth proportional to 873.90, 1,309.82 and 435.02 is: 652.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.90 : 1,309.82 = 435.02 : x
  2. Step 2: Convert to fraction form
    873.90/1,309.82 = 435.02/x
  3. Step 3: Cross multiply
    873.90x = 1,309.82 × 435.02
  4. Step 4: Simplify right side
    873.90x = 569,795.72
  5. Step 5: Solve for x
    x = 569,795.72/873.90
  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.