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Finding the Fourth Proportional to 1,476.23, 2,214.54 and 502.40

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Solution

The fourth proportional to 1,476.23, 2,214.54 and 502.40 is: 753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.23 : 2,214.54 = 502.40 : x
  2. Step 2: Convert to fraction form
    1,476.23/2,214.54 = 502.40/x
  3. Step 3: Cross multiply
    1,476.23x = 2,214.54 × 502.40
  4. Step 4: Simplify right side
    1,476.23x = 1,112,590.43
  5. Step 5: Solve for x
    x = 1,112,590.43/1,476.23
  6. Step 6: Final answer
    x = 753.67

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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.