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Finding the Fourth Proportional to 1,116.16, 1,674.48 and 346.72

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Solution

The fourth proportional to 1,116.16, 1,674.48 and 346.72 is: 520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.16 : 1,674.48 = 346.72 : x
  2. Step 2: Convert to fraction form
    1,116.16/1,674.48 = 346.72/x
  3. Step 3: Cross multiply
    1,116.16x = 1,674.48 × 346.72
  4. Step 4: Simplify right side
    1,116.16x = 580,575.71
  5. Step 5: Solve for x
    x = 580,575.71/1,116.16
  6. Step 6: Final answer
    x = 520.15

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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.