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Finding the Fourth Proportional to 1,124.32, 1,686.57 and 302.58

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Solution

The fourth proportional to 1,124.32, 1,686.57 and 302.58 is: 453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.32 : 1,686.57 = 302.58 : x
  2. Step 2: Convert to fraction form
    1,124.32/1,686.57 = 302.58/x
  3. Step 3: Cross multiply
    1,124.32x = 1,686.57 × 302.58
  4. Step 4: Simplify right side
    1,124.32x = 510,322.35
  5. Step 5: Solve for x
    x = 510,322.35/1,124.32
  6. Step 6: Final answer
    x = 453.89

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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.