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Finding the Fourth Proportional to 1,734.02, 2,599.76 and 623.16

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Solution

The fourth proportional to 1,734.02, 2,599.76 and 623.16 is: 934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.02 : 2,599.76 = 623.16 : x
  2. Step 2: Convert to fraction form
    1,734.02/2,599.76 = 623.16/x
  3. Step 3: Cross multiply
    1,734.02x = 2,599.76 × 623.16
  4. Step 4: Simplify right side
    1,734.02x = 1,620,066.44
  5. Step 5: Solve for x
    x = 1,620,066.44/1,734.02
  6. Step 6: Final answer
    x = 934.28

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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.