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Finding the Fourth Proportional to 971.54, 1,456.10 and 509.08

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Solution

The fourth proportional to 971.54, 1,456.10 and 509.08 is: 762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.54 : 1,456.10 = 509.08 : x
  2. Step 2: Convert to fraction form
    971.54/1,456.10 = 509.08/x
  3. Step 3: Cross multiply
    971.54x = 1,456.10 × 509.08
  4. Step 4: Simplify right side
    971.54x = 741,271.39
  5. Step 5: Solve for x
    x = 741,271.39/971.54
  6. Step 6: Final answer
    x = 762.99

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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.