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Finding the Fourth Proportional to 856.13, 1,283.31 and 417.15

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Solution

The fourth proportional to 856.13, 1,283.31 and 417.15 is: 625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.13 : 1,283.31 = 417.15 : x
  2. Step 2: Convert to fraction form
    856.13/1,283.31 = 417.15/x
  3. Step 3: Cross multiply
    856.13x = 1,283.31 × 417.15
  4. Step 4: Simplify right side
    856.13x = 535,332.77
  5. Step 5: Solve for x
    x = 535,332.77/856.13
  6. Step 6: Final answer
    x = 625.30

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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.