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Finding the Fourth Proportional to 749.79, 1,034.64 and 455.22

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Solution

The fourth proportional to 749.79, 1,034.64 and 455.22 is: 628.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.79 : 1,034.64 = 455.22 : x
  2. Step 2: Convert to fraction form
    749.79/1,034.64 = 455.22/x
  3. Step 3: Cross multiply
    749.79x = 1,034.64 × 455.22
  4. Step 4: Simplify right side
    749.79x = 470,988.82
  5. Step 5: Solve for x
    x = 470,988.82/749.79
  6. Step 6: Final answer
    x = 628.16

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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.