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Finding the Fourth Proportional to 975.84, 1,463.28 and 687.36

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Solution

The fourth proportional to 975.84, 1,463.28 and 687.36 is: 1,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.84 : 1,463.28 = 687.36 : x
  2. Step 2: Convert to fraction form
    975.84/1,463.28 = 687.36/x
  3. Step 3: Cross multiply
    975.84x = 1,463.28 × 687.36
  4. Step 4: Simplify right side
    975.84x = 1,005,800.14
  5. Step 5: Solve for x
    x = 1,005,800.14/975.84
  6. Step 6: Final answer
    x = 1,030.70

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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.