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Finding the Fourth Proportional to 755.69, 1,042.58 and 598.35

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Solution

The fourth proportional to 755.69, 1,042.58 and 598.35 is: 825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.69 : 1,042.58 = 598.35 : x
  2. Step 2: Convert to fraction form
    755.69/1,042.58 = 598.35/x
  3. Step 3: Cross multiply
    755.69x = 1,042.58 × 598.35
  4. Step 4: Simplify right side
    755.69x = 623,824.75
  5. Step 5: Solve for x
    x = 623,824.75/755.69
  6. Step 6: Final answer
    x = 825.51

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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.