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Finding the Fourth Proportional to 1,113.44, 1,670.16 and 463.72

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Solution

The fourth proportional to 1,113.44, 1,670.16 and 463.72 is: 695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.44 : 1,670.16 = 463.72 : x
  2. Step 2: Convert to fraction form
    1,113.44/1,670.16 = 463.72/x
  3. Step 3: Cross multiply
    1,113.44x = 1,670.16 × 463.72
  4. Step 4: Simplify right side
    1,113.44x = 774,486.60
  5. Step 5: Solve for x
    x = 774,486.60/1,113.44
  6. Step 6: Final answer
    x = 695.58

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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.