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Finding the Fourth Proportional to 975.61, 1,462.96 and 390.48

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Solution

The fourth proportional to 975.61, 1,462.96 and 390.48 is: 585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.61 : 1,462.96 = 390.48 : x
  2. Step 2: Convert to fraction form
    975.61/1,462.96 = 390.48/x
  3. Step 3: Cross multiply
    975.61x = 1,462.96 × 390.48
  4. Step 4: Simplify right side
    975.61x = 571,256.62
  5. Step 5: Solve for x
    x = 571,256.62/975.61
  6. Step 6: Final answer
    x = 585.54

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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.