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Finding the Fourth Proportional to 1,731.30, 2,595.66 and 690.45

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Solution

The fourth proportional to 1,731.30, 2,595.66 and 690.45 is: 1,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.30 : 2,595.66 = 690.45 : x
  2. Step 2: Convert to fraction form
    1,731.30/2,595.66 = 690.45/x
  3. Step 3: Cross multiply
    1,731.30x = 2,595.66 × 690.45
  4. Step 4: Simplify right side
    1,731.30x = 1,792,173.45
  5. Step 5: Solve for x
    x = 1,792,173.45/1,731.30
  6. Step 6: Final answer
    x = 1,035.16

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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.