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Finding the Fourth Proportional to 745.94, 1,030.39 and 569.60

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Solution

The fourth proportional to 745.94, 1,030.39 and 569.60 is: 786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.94 : 1,030.39 = 569.60 : x
  2. Step 2: Convert to fraction form
    745.94/1,030.39 = 569.60/x
  3. Step 3: Cross multiply
    745.94x = 1,030.39 × 569.60
  4. Step 4: Simplify right side
    745.94x = 586,907.43
  5. Step 5: Solve for x
    x = 586,907.43/745.94
  6. Step 6: Final answer
    x = 786.80

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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.