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Finding the Fourth Proportional to 740.58, 1,022.00 and 404.51

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Solution

The fourth proportional to 740.58, 1,022.00 and 404.51 is: 558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.58 : 1,022.00 = 404.51 : x
  2. Step 2: Convert to fraction form
    740.58/1,022.00 = 404.51/x
  3. Step 3: Cross multiply
    740.58x = 1,022.00 × 404.51
  4. Step 4: Simplify right side
    740.58x = 413,402.09
  5. Step 5: Solve for x
    x = 413,402.09/740.58
  6. Step 6: Final answer
    x = 558.21

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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.