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Finding the Fourth Proportional to 856.70, 1,283.59 and 465.81

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Solution

The fourth proportional to 856.70, 1,283.59 and 465.81 is: 697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.70 : 1,283.59 = 465.81 : x
  2. Step 2: Convert to fraction form
    856.70/1,283.59 = 465.81/x
  3. Step 3: Cross multiply
    856.70x = 1,283.59 × 465.81
  4. Step 4: Simplify right side
    856.70x = 597,909.06
  5. Step 5: Solve for x
    x = 597,909.06/856.70
  6. Step 6: Final answer
    x = 697.92

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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.