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Finding the Fourth Proportional to 670.67, 924.57 and 592.37

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Solution

The fourth proportional to 670.67, 924.57 and 592.37 is: 816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.67 : 924.57 = 592.37 : x
  2. Step 2: Convert to fraction form
    670.67/924.57 = 592.37/x
  3. Step 3: Cross multiply
    670.67x = 924.57 × 592.37
  4. Step 4: Simplify right side
    670.67x = 547,687.53
  5. Step 5: Solve for x
    x = 547,687.53/670.67
  6. Step 6: Final answer
    x = 816.63

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1.5x scale

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.