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Finding the Fourth Proportional to 954.03, 1,430.12 and 492.33

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Solution

The fourth proportional to 954.03, 1,430.12 and 492.33 is: 738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.03 : 1,430.12 = 492.33 : x
  2. Step 2: Convert to fraction form
    954.03/1,430.12 = 492.33/x
  3. Step 3: Cross multiply
    954.03x = 1,430.12 × 492.33
  4. Step 4: Simplify right side
    954.03x = 704,088.52
  5. Step 5: Solve for x
    x = 704,088.52/954.03
  6. Step 6: Final answer
    x = 738.02

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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.