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Finding the Fourth Proportional to 957.74, 1,436.00 and 463.91

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Solution

The fourth proportional to 957.74, 1,436.00 and 463.91 is: 695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.74 : 1,436.00 = 463.91 : x
  2. Step 2: Convert to fraction form
    957.74/1,436.00 = 463.91/x
  3. Step 3: Cross multiply
    957.74x = 1,436.00 × 463.91
  4. Step 4: Simplify right side
    957.74x = 666,165.26
  5. Step 5: Solve for x
    x = 666,165.26/957.74
  6. Step 6: Final answer
    x = 695.56

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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.