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Finding the Fourth Proportional to 947.01, 1,417.54 and 599.14

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Solution

The fourth proportional to 947.01, 1,417.54 and 599.14 is: 896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.01 : 1,417.54 = 599.14 : x
  2. Step 2: Convert to fraction form
    947.01/1,417.54 = 599.14/x
  3. Step 3: Cross multiply
    947.01x = 1,417.54 × 599.14
  4. Step 4: Simplify right side
    947.01x = 849,297.83
  5. Step 5: Solve for x
    x = 849,297.83/947.01
  6. Step 6: Final answer
    x = 896.82

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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.