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Finding the Fourth Proportional to 1,124.50, 1,552.15 and 652.51

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Solution

The fourth proportional to 1,124.50, 1,552.15 and 652.51 is: 900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.50 : 1,552.15 = 652.51 : x
  2. Step 2: Convert to fraction form
    1,124.50/1,552.15 = 652.51/x
  3. Step 3: Cross multiply
    1,124.50x = 1,552.15 × 652.51
  4. Step 4: Simplify right side
    1,124.50x = 1,012,796.84
  5. Step 5: Solve for x
    x = 1,012,796.84/1,124.50
  6. Step 6: Final answer
    x = 900.66

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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.