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Finding the Fourth Proportional to 740.97, 1,111.59 and 415.89

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Solution

The fourth proportional to 740.97, 1,111.59 and 415.89 is: 623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.97 : 1,111.59 = 415.89 : x
  2. Step 2: Convert to fraction form
    740.97/1,111.59 = 415.89/x
  3. Step 3: Cross multiply
    740.97x = 1,111.59 × 415.89
  4. Step 4: Simplify right side
    740.97x = 462,299.17
  5. Step 5: Solve for x
    x = 462,299.17/740.97
  6. Step 6: Final answer
    x = 623.91

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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.