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Finding the Fourth Proportional to 971.03, 1,456.59 and 386.15

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Solution

The fourth proportional to 971.03, 1,456.59 and 386.15 is: 579.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.03 : 1,456.59 = 386.15 : x
  2. Step 2: Convert to fraction form
    971.03/1,456.59 = 386.15/x
  3. Step 3: Cross multiply
    971.03x = 1,456.59 × 386.15
  4. Step 4: Simplify right side
    971.03x = 562,462.23
  5. Step 5: Solve for x
    x = 562,462.23/971.03
  6. Step 6: Final answer
    x = 579.24

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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.