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Finding the Fourth Proportional to 1,167.71, 1,751.90 and 346.00

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Solution

The fourth proportional to 1,167.71, 1,751.90 and 346.00 is: 519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.71 : 1,751.90 = 346.00 : x
  2. Step 2: Convert to fraction form
    1,167.71/1,751.90 = 346.00/x
  3. Step 3: Cross multiply
    1,167.71x = 1,751.90 × 346.00
  4. Step 4: Simplify right side
    1,167.71x = 606,154.07
  5. Step 5: Solve for x
    x = 606,154.07/1,167.71
  6. Step 6: Final answer
    x = 519.10

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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.