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Finding the Fourth Proportional to 745.65, 1,029.00 and 414.10

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Solution

The fourth proportional to 745.65, 1,029.00 and 414.10 is: 571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.65 : 1,029.00 = 414.10 : x
  2. Step 2: Convert to fraction form
    745.65/1,029.00 = 414.10/x
  3. Step 3: Cross multiply
    745.65x = 1,029.00 × 414.10
  4. Step 4: Simplify right side
    745.65x = 426,101.68
  5. Step 5: Solve for x
    x = 426,101.68/745.65
  6. Step 6: Final answer
    x = 571.45

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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.