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Finding the Fourth Proportional to 674.04, 931.65 and 594.75

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Solution

The fourth proportional to 674.04, 931.65 and 594.75 is: 822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.04 : 931.65 = 594.75 : x
  2. Step 2: Convert to fraction form
    674.04/931.65 = 594.75/x
  3. Step 3: Cross multiply
    674.04x = 931.65 × 594.75
  4. Step 4: Simplify right side
    674.04x = 554,098.84
  5. Step 5: Solve for x
    x = 554,098.84/674.04
  6. Step 6: Final answer
    x = 822.06

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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.