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Finding the Fourth Proportional to 875.84, 1,209.16 and 581.36

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Solution

The fourth proportional to 875.84, 1,209.16 and 581.36 is: 802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.84 : 1,209.16 = 581.36 : x
  2. Step 2: Convert to fraction form
    875.84/1,209.16 = 581.36/x
  3. Step 3: Cross multiply
    875.84x = 1,209.16 × 581.36
  4. Step 4: Simplify right side
    875.84x = 702,957.26
  5. Step 5: Solve for x
    x = 702,957.26/875.84
  6. Step 6: Final answer
    x = 802.61

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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.