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Finding the Fourth Proportional to 1,156.50, 1,734.75 and 463.49

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Solution

The fourth proportional to 1,156.50, 1,734.75 and 463.49 is: 695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.50 : 1,734.75 = 463.49 : x
  2. Step 2: Convert to fraction form
    1,156.50/1,734.75 = 463.49/x
  3. Step 3: Cross multiply
    1,156.50x = 1,734.75 × 463.49
  4. Step 4: Simplify right side
    1,156.50x = 804,030.60
  5. Step 5: Solve for x
    x = 804,030.60/1,156.50
  6. Step 6: Final answer
    x = 695.23

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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.