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Finding the Fourth Proportional to 1,124.42, 1,686.79 and 302.75

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Solution

The fourth proportional to 1,124.42, 1,686.79 and 302.75 is: 454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.42 : 1,686.79 = 302.75 : x
  2. Step 2: Convert to fraction form
    1,124.42/1,686.79 = 302.75/x
  3. Step 3: Cross multiply
    1,124.42x = 1,686.79 × 302.75
  4. Step 4: Simplify right side
    1,124.42x = 510,675.67
  5. Step 5: Solve for x
    x = 510,675.67/1,124.42
  6. Step 6: Final answer
    x = 454.17

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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.