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Finding the Fourth Proportional to 1,164, 1,746 and 514.71

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Solution

The fourth proportional to 1,164, 1,746 and 514.71 is: 772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164 : 1,746 = 514.71 : x
  2. Step 2: Convert to fraction form
    1,164/1,746 = 514.71/x
  3. Step 3: Cross multiply
    1,164x = 1,746 × 514.71
  4. Step 4: Simplify right side
    1,164x = 898,683.66
  5. Step 5: Solve for x
    x = 898,683.66/1,164
  6. Step 6: Final answer
    x = 772.07

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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.