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Finding the Fourth Proportional to 740.58, 1,021.86 and 445.74

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Solution

The fourth proportional to 740.58, 1,021.86 and 445.74 is: 615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.58 : 1,021.86 = 445.74 : x
  2. Step 2: Convert to fraction form
    740.58/1,021.86 = 445.74/x
  3. Step 3: Cross multiply
    740.58x = 1,021.86 × 445.74
  4. Step 4: Simplify right side
    740.58x = 455,483.88
  5. Step 5: Solve for x
    x = 455,483.88/740.58
  6. Step 6: Final answer
    x = 615.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.