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Finding the Fourth Proportional to 867.84, 1,300.56 and 456.16

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Solution

The fourth proportional to 867.84, 1,300.56 and 456.16 is: 683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.84 : 1,300.56 = 456.16 : x
  2. Step 2: Convert to fraction form
    867.84/1,300.56 = 456.16/x
  3. Step 3: Cross multiply
    867.84x = 1,300.56 × 456.16
  4. Step 4: Simplify right side
    867.84x = 593,263.45
  5. Step 5: Solve for x
    x = 593,263.45/867.84
  6. Step 6: Final answer
    x = 683.61

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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.