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Finding the Fourth Proportional to 873.40, 1,309.95 and 257.03

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Solution

The fourth proportional to 873.40, 1,309.95 and 257.03 is: 385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.40 : 1,309.95 = 257.03 : x
  2. Step 2: Convert to fraction form
    873.40/1,309.95 = 257.03/x
  3. Step 3: Cross multiply
    873.40x = 1,309.95 × 257.03
  4. Step 4: Simplify right side
    873.40x = 336,696.45
  5. Step 5: Solve for x
    x = 336,696.45/873.40
  6. Step 6: Final answer
    x = 385.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.