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Finding the Fourth Proportional to 1,113.57, 1,670.22 and 463.95

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Solution

The fourth proportional to 1,113.57, 1,670.22 and 463.95 is: 695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.57 : 1,670.22 = 463.95 : x
  2. Step 2: Convert to fraction form
    1,113.57/1,670.22 = 463.95/x
  3. Step 3: Cross multiply
    1,113.57x = 1,670.22 × 463.95
  4. Step 4: Simplify right side
    1,113.57x = 774,898.57
  5. Step 5: Solve for x
    x = 774,898.57/1,113.57
  6. Step 6: Final answer
    x = 695.87

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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.