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Finding the Fourth Proportional to 875.37, 1,208.51 and 581.04

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Solution

The fourth proportional to 875.37, 1,208.51 and 581.04 is: 802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.37 : 1,208.51 = 581.04 : x
  2. Step 2: Convert to fraction form
    875.37/1,208.51 = 581.04/x
  3. Step 3: Cross multiply
    875.37x = 1,208.51 × 581.04
  4. Step 4: Simplify right side
    875.37x = 702,189.75
  5. Step 5: Solve for x
    x = 702,189.75/875.37
  6. Step 6: Final answer
    x = 802.16

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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.