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Finding the Fourth Proportional to 846.57, 1,265.35 and 735.99

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Solution

The fourth proportional to 846.57, 1,265.35 and 735.99 is: 1,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.57 : 1,265.35 = 735.99 : x
  2. Step 2: Convert to fraction form
    846.57/1,265.35 = 735.99/x
  3. Step 3: Cross multiply
    846.57x = 1,265.35 × 735.99
  4. Step 4: Simplify right side
    846.57x = 931,283.11
  5. Step 5: Solve for x
    x = 931,283.11/846.57
  6. Step 6: Final answer
    x = 1,100.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.