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Finding the Fourth Proportional to 1,451.34, 2,176.54 and 477.21

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Solution

The fourth proportional to 1,451.34, 2,176.54 and 477.21 is: 715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.34 : 2,176.54 = 477.21 : x
  2. Step 2: Convert to fraction form
    1,451.34/2,176.54 = 477.21/x
  3. Step 3: Cross multiply
    1,451.34x = 2,176.54 × 477.21
  4. Step 4: Simplify right side
    1,451.34x = 1,038,666.65
  5. Step 5: Solve for x
    x = 1,038,666.65/1,451.34
  6. Step 6: Final answer
    x = 715.66

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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.