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Finding the Fourth Proportional to 875.51, 1,208.18 and 477.15

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Solution

The fourth proportional to 875.51, 1,208.18 and 477.15 is: 658.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.51 : 1,208.18 = 477.15 : x
  2. Step 2: Convert to fraction form
    875.51/1,208.18 = 477.15/x
  3. Step 3: Cross multiply
    875.51x = 1,208.18 × 477.15
  4. Step 4: Simplify right side
    875.51x = 576,480.70
  5. Step 5: Solve for x
    x = 576,480.70/875.51
  6. Step 6: Final answer
    x = 658.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.