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Finding the Fourth Proportional to 875.34, 1,208.21 and 543.58

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Solution

The fourth proportional to 875.34, 1,208.21 and 543.58 is: 750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.34 : 1,208.21 = 543.58 : x
  2. Step 2: Convert to fraction form
    875.34/1,208.21 = 543.58/x
  3. Step 3: Cross multiply
    875.34x = 1,208.21 × 543.58
  4. Step 4: Simplify right side
    875.34x = 656,758.79
  5. Step 5: Solve for x
    x = 656,758.79/875.34
  6. Step 6: Final answer
    x = 750.29

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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.