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Finding the Fourth Proportional to 674.36, 1,010.75 and 597.47

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Solution

The fourth proportional to 674.36, 1,010.75 and 597.47 is: 895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.36 : 1,010.75 = 597.47 : x
  2. Step 2: Convert to fraction form
    674.36/1,010.75 = 597.47/x
  3. Step 3: Cross multiply
    674.36x = 1,010.75 × 597.47
  4. Step 4: Simplify right side
    674.36x = 603,884.76
  5. Step 5: Solve for x
    x = 603,884.76/674.36
  6. Step 6: Final answer
    x = 895.50

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1.5x scale

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.