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Finding the Fourth Proportional to 1,732.63, 2,599.40 and 500.14

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Solution

The fourth proportional to 1,732.63, 2,599.40 and 500.14 is: 750.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.63 : 2,599.40 = 500.14 : x
  2. Step 2: Convert to fraction form
    1,732.63/2,599.40 = 500.14/x
  3. Step 3: Cross multiply
    1,732.63x = 2,599.40 × 500.14
  4. Step 4: Simplify right side
    1,732.63x = 1,300,068.42
  5. Step 5: Solve for x
    x = 1,300,068.42/1,732.63
  6. Step 6: Final answer
    x = 750.34

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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.