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Finding the Fourth Proportional to 678.12, 1,017.48 and 524.02

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Solution

The fourth proportional to 678.12, 1,017.48 and 524.02 is: 786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.12 : 1,017.48 = 524.02 : x
  2. Step 2: Convert to fraction form
    678.12/1,017.48 = 524.02/x
  3. Step 3: Cross multiply
    678.12x = 1,017.48 × 524.02
  4. Step 4: Simplify right side
    678.12x = 533,179.87
  5. Step 5: Solve for x
    x = 533,179.87/678.12
  6. Step 6: Final answer
    x = 786.26

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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.