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Finding the Fourth Proportional to 700.84, 1,052.58 and 670.12

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Solution

The fourth proportional to 700.84, 1,052.58 and 670.12 is: 1,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.84 : 1,052.58 = 670.12 : x
  2. Step 2: Convert to fraction form
    700.84/1,052.58 = 670.12/x
  3. Step 3: Cross multiply
    700.84x = 1,052.58 × 670.12
  4. Step 4: Simplify right side
    700.84x = 705,354.91
  5. Step 5: Solve for x
    x = 705,354.91/700.84
  6. Step 6: Final answer
    x = 1,006.44

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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.