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Finding the Fourth Proportional to 745.84, 1,118.58 and 457.12

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Solution

The fourth proportional to 745.84, 1,118.58 and 457.12 is: 685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.84 : 1,118.58 = 457.12 : x
  2. Step 2: Convert to fraction form
    745.84/1,118.58 = 457.12/x
  3. Step 3: Cross multiply
    745.84x = 1,118.58 × 457.12
  4. Step 4: Simplify right side
    745.84x = 511,325.29
  5. Step 5: Solve for x
    x = 511,325.29/745.84
  6. Step 6: Final answer
    x = 685.57

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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.