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Finding the Fourth Proportional to 972.05, 1,341.32 and 599.00

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Solution

The fourth proportional to 972.05, 1,341.32 and 599.00 is: 826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.05 : 1,341.32 = 599.00 : x
  2. Step 2: Convert to fraction form
    972.05/1,341.32 = 599.00/x
  3. Step 3: Cross multiply
    972.05x = 1,341.32 × 599.00
  4. Step 4: Simplify right side
    972.05x = 803,440.98
  5. Step 5: Solve for x
    x = 803,440.98/972.05
  6. Step 6: Final answer
    x = 826.55

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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.