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Finding the Fourth Proportional to 745.47, 1,029.56 and 497.84

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Solution

The fourth proportional to 745.47, 1,029.56 and 497.84 is: 687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.47 : 1,029.56 = 497.84 : x
  2. Step 2: Convert to fraction form
    745.47/1,029.56 = 497.84/x
  3. Step 3: Cross multiply
    745.47x = 1,029.56 × 497.84
  4. Step 4: Simplify right side
    745.47x = 512,548.51
  5. Step 5: Solve for x
    x = 512,548.51/745.47
  6. Step 6: Final answer
    x = 687.55

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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.