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Finding the Fourth Proportional to 873.34, 1,315.21 and 787.66

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Solution

The fourth proportional to 873.34, 1,315.21 and 787.66 is: 1,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.34 : 1,315.21 = 787.66 : x
  2. Step 2: Convert to fraction form
    873.34/1,315.21 = 787.66/x
  3. Step 3: Cross multiply
    873.34x = 1,315.21 × 787.66
  4. Step 4: Simplify right side
    873.34x = 1,035,938.31
  5. Step 5: Solve for x
    x = 1,035,938.31/873.34
  6. Step 6: Final answer
    x = 1,186.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.