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Finding the Fourth Proportional to 993.63, 1,490.46 and 560.77

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Solution

The fourth proportional to 993.63, 1,490.46 and 560.77 is: 841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.63 : 1,490.46 = 560.77 : x
  2. Step 2: Convert to fraction form
    993.63/1,490.46 = 560.77/x
  3. Step 3: Cross multiply
    993.63x = 1,490.46 × 560.77
  4. Step 4: Simplify right side
    993.63x = 835,805.25
  5. Step 5: Solve for x
    x = 835,805.25/993.63
  6. Step 6: Final answer
    x = 841.16

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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.