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Finding the Fourth Proportional to 744.90, 1,116.54 and 456

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Solution

The fourth proportional to 744.90, 1,116.54 and 456 is: 683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.90 : 1,116.54 = 456 : x
  2. Step 2: Convert to fraction form
    744.90/1,116.54 = 456/x
  3. Step 3: Cross multiply
    744.90x = 1,116.54 × 456
  4. Step 4: Simplify right side
    744.90x = 509,142.24
  5. Step 5: Solve for x
    x = 509,142.24/744.90
  6. Step 6: Final answer
    x = 683.50

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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.