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Finding the Fourth Proportional to 1,124.84, 1,686.98 and 547.58

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Solution

The fourth proportional to 1,124.84, 1,686.98 and 547.58 is: 821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.84 : 1,686.98 = 547.58 : x
  2. Step 2: Convert to fraction form
    1,124.84/1,686.98 = 547.58/x
  3. Step 3: Cross multiply
    1,124.84x = 1,686.98 × 547.58
  4. Step 4: Simplify right side
    1,124.84x = 923,756.51
  5. Step 5: Solve for x
    x = 923,756.51/1,124.84
  6. Step 6: Final answer
    x = 821.23

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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.