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Finding the Fourth Proportional to 1,171.34, 1,756.43 and 430.92

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Solution

The fourth proportional to 1,171.34, 1,756.43 and 430.92 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.34 : 1,756.43 = 430.92 : x
  2. Step 2: Convert to fraction form
    1,171.34/1,756.43 = 430.92/x
  3. Step 3: Cross multiply
    1,171.34x = 1,756.43 × 430.92
  4. Step 4: Simplify right side
    1,171.34x = 756,881.89
  5. Step 5: Solve for x
    x = 756,881.89/1,171.34
  6. Step 6: Final answer
    x = 646.17

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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.