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Finding the Fourth Proportional to 736.86, 1,106.70 and 463.50

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Solution

The fourth proportional to 736.86, 1,106.70 and 463.50 is: 696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.86 : 1,106.70 = 463.50 : x
  2. Step 2: Convert to fraction form
    736.86/1,106.70 = 463.50/x
  3. Step 3: Cross multiply
    736.86x = 1,106.70 × 463.50
  4. Step 4: Simplify right side
    736.86x = 512,955.45
  5. Step 5: Solve for x
    x = 512,955.45/736.86
  6. Step 6: Final answer
    x = 696.14

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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.