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Finding the Fourth Proportional to 749.95, 1,034.75 and 455.16

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Solution

The fourth proportional to 749.95, 1,034.75 and 455.16 is: 628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.95 : 1,034.75 = 455.16 : x
  2. Step 2: Convert to fraction form
    749.95/1,034.75 = 455.16/x
  3. Step 3: Cross multiply
    749.95x = 1,034.75 × 455.16
  4. Step 4: Simplify right side
    749.95x = 470,971.95
  5. Step 5: Solve for x
    x = 470,971.95/749.95
  6. Step 6: Final answer
    x = 628.01

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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.