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Finding the Fourth Proportional to 670.84, 924.37 and 570.92

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Solution

The fourth proportional to 670.84, 924.37 and 570.92 is: 786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.84 : 924.37 = 570.92 : x
  2. Step 2: Convert to fraction form
    670.84/924.37 = 570.92/x
  3. Step 3: Cross multiply
    670.84x = 924.37 × 570.92
  4. Step 4: Simplify right side
    670.84x = 527,735.27
  5. Step 5: Solve for x
    x = 527,735.27/670.84
  6. Step 6: Final answer
    x = 786.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.