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Finding the Fourth Proportional to 978.13, 1,467.87 and 430.48

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Solution

The fourth proportional to 978.13, 1,467.87 and 430.48 is: 646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.13 : 1,467.87 = 430.48 : x
  2. Step 2: Convert to fraction form
    978.13/1,467.87 = 430.48/x
  3. Step 3: Cross multiply
    978.13x = 1,467.87 × 430.48
  4. Step 4: Simplify right side
    978.13x = 631,888.68
  5. Step 5: Solve for x
    x = 631,888.68/978.13
  6. Step 6: Final answer
    x = 646.02

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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.