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Finding the Fourth Proportional to 957.30, 1,436.22 and 524.76

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Solution

The fourth proportional to 957.30, 1,436.22 and 524.76 is: 787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.30 : 1,436.22 = 524.76 : x
  2. Step 2: Convert to fraction form
    957.30/1,436.22 = 524.76/x
  3. Step 3: Cross multiply
    957.30x = 1,436.22 × 524.76
  4. Step 4: Simplify right side
    957.30x = 753,670.81
  5. Step 5: Solve for x
    x = 753,670.81/957.30
  6. Step 6: Final answer
    x = 787.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.