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Finding the Fourth Proportional to 1,056.45, 1,584.97 and 463.37

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Solution

The fourth proportional to 1,056.45, 1,584.97 and 463.37 is: 695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.45 : 1,584.97 = 463.37 : x
  2. Step 2: Convert to fraction form
    1,056.45/1,584.97 = 463.37/x
  3. Step 3: Cross multiply
    1,056.45x = 1,584.97 × 463.37
  4. Step 4: Simplify right side
    1,056.45x = 734,417.31
  5. Step 5: Solve for x
    x = 734,417.31/1,056.45
  6. Step 6: Final answer
    x = 695.17

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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.