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Finding the Fourth Proportional to 1,347.16, 2,021.05 and 469.71

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Solution

The fourth proportional to 1,347.16, 2,021.05 and 469.71 is: 704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.16 : 2,021.05 = 469.71 : x
  2. Step 2: Convert to fraction form
    1,347.16/2,021.05 = 469.71/x
  3. Step 3: Cross multiply
    1,347.16x = 2,021.05 × 469.71
  4. Step 4: Simplify right side
    1,347.16x = 949,307.40
  5. Step 5: Solve for x
    x = 949,307.40/1,347.16
  6. Step 6: Final answer
    x = 704.67

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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.