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Finding the Fourth Proportional to 989.52, 1,482.06 and 502.74

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Solution

The fourth proportional to 989.52, 1,482.06 and 502.74 is: 752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.52 : 1,482.06 = 502.74 : x
  2. Step 2: Convert to fraction form
    989.52/1,482.06 = 502.74/x
  3. Step 3: Cross multiply
    989.52x = 1,482.06 × 502.74
  4. Step 4: Simplify right side
    989.52x = 745,090.84
  5. Step 5: Solve for x
    x = 745,090.84/989.52
  6. Step 6: Final answer
    x = 752.98

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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.