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Finding the Fourth Proportional to 1,164.06, 1,746.17 and 514.80

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Solution

The fourth proportional to 1,164.06, 1,746.17 and 514.80 is: 772.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.06 : 1,746.17 = 514.80 : x
  2. Step 2: Convert to fraction form
    1,164.06/1,746.17 = 514.80/x
  3. Step 3: Cross multiply
    1,164.06x = 1,746.17 × 514.80
  4. Step 4: Simplify right side
    1,164.06x = 898,925.74
  5. Step 5: Solve for x
    x = 898,925.74/1,164.06
  6. Step 6: Final answer
    x = 772.23

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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.