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Finding the Fourth Proportional to 1,149.84, 1,586.82 and 652.50

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Solution

The fourth proportional to 1,149.84, 1,586.82 and 652.50 is: 900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.84 : 1,586.82 = 652.50 : x
  2. Step 2: Convert to fraction form
    1,149.84/1,586.82 = 652.50/x
  3. Step 3: Cross multiply
    1,149.84x = 1,586.82 × 652.50
  4. Step 4: Simplify right side
    1,149.84x = 1,035,400.05
  5. Step 5: Solve for x
    x = 1,035,400.05/1,149.84
  6. Step 6: Final answer
    x = 900.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.