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Finding the Fourth Proportional to 1,116.42, 1,674.64 and 294.77

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Solution

The fourth proportional to 1,116.42, 1,674.64 and 294.77 is: 442.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.42 : 1,674.64 = 294.77 : x
  2. Step 2: Convert to fraction form
    1,116.42/1,674.64 = 294.77/x
  3. Step 3: Cross multiply
    1,116.42x = 1,674.64 × 294.77
  4. Step 4: Simplify right side
    1,116.42x = 493,638.19
  5. Step 5: Solve for x
    x = 493,638.19/1,116.42
  6. Step 6: Final answer
    x = 442.16

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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.