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Finding the Fourth Proportional to 1,475.07, 2,212.47 and 501.06

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Solution

The fourth proportional to 1,475.07, 2,212.47 and 501.06 is: 751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.07 : 2,212.47 = 501.06 : x
  2. Step 2: Convert to fraction form
    1,475.07/2,212.47 = 501.06/x
  3. Step 3: Cross multiply
    1,475.07x = 2,212.47 × 501.06
  4. Step 4: Simplify right side
    1,475.07x = 1,108,580.22
  5. Step 5: Solve for x
    x = 1,108,580.22/1,475.07
  6. Step 6: Final answer
    x = 751.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.