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Finding the Fourth Proportional to 947.65, 1,421.50 and 509.29

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Solution

The fourth proportional to 947.65, 1,421.50 and 509.29 is: 763.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.65 : 1,421.50 = 509.29 : x
  2. Step 2: Convert to fraction form
    947.65/1,421.50 = 509.29/x
  3. Step 3: Cross multiply
    947.65x = 1,421.50 × 509.29
  4. Step 4: Simplify right side
    947.65x = 723,946.08
  5. Step 5: Solve for x
    x = 723,946.08/947.65
  6. Step 6: Final answer
    x = 763.94

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Why These Related Problems?

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