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Finding the Fourth Proportional to 972.30, 1,341.45 and 623.19

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Solution

The fourth proportional to 972.30, 1,341.45 and 623.19 is: 859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.30 : 1,341.45 = 623.19 : x
  2. Step 2: Convert to fraction form
    972.30/1,341.45 = 623.19/x
  3. Step 3: Cross multiply
    972.30x = 1,341.45 × 623.19
  4. Step 4: Simplify right side
    972.30x = 835,978.23
  5. Step 5: Solve for x
    x = 835,978.23/972.30
  6. Step 6: Final answer
    x = 859.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.