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Finding the Fourth Proportional to 597.60, 824.88 and 556.62

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Solution

The fourth proportional to 597.60, 824.88 and 556.62 is: 768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.60 : 824.88 = 556.62 : x
  2. Step 2: Convert to fraction form
    597.60/824.88 = 556.62/x
  3. Step 3: Cross multiply
    597.60x = 824.88 × 556.62
  4. Step 4: Simplify right side
    597.60x = 459,144.71
  5. Step 5: Solve for x
    x = 459,144.71/597.60
  6. Step 6: Final answer
    x = 768.31

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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.