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Finding the Fourth Proportional to 856.75, 1,287.53 and 510.14

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Solution

The fourth proportional to 856.75, 1,287.53 and 510.14 is: 766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.75 : 1,287.53 = 510.14 : x
  2. Step 2: Convert to fraction form
    856.75/1,287.53 = 510.14/x
  3. Step 3: Cross multiply
    856.75x = 1,287.53 × 510.14
  4. Step 4: Simplify right side
    856.75x = 656,820.55
  5. Step 5: Solve for x
    x = 656,820.55/856.75
  6. Step 6: Final answer
    x = 766.64

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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.