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Finding the Fourth Proportional to 989.15, 1,482.64 and 527.13

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Solution

The fourth proportional to 989.15, 1,482.64 and 527.13 is: 790.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.15 : 1,482.64 = 527.13 : x
  2. Step 2: Convert to fraction form
    989.15/1,482.64 = 527.13/x
  3. Step 3: Cross multiply
    989.15x = 1,482.64 × 527.13
  4. Step 4: Simplify right side
    989.15x = 781,542.71
  5. Step 5: Solve for x
    x = 781,542.71/989.15
  6. Step 6: Final answer
    x = 790.12

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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.