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Finding the Fourth Proportional to 993.52, 1,490.52 and 583

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Solution

The fourth proportional to 993.52, 1,490.52 and 583 is: 874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.52 : 1,490.52 = 583 : x
  2. Step 2: Convert to fraction form
    993.52/1,490.52 = 583/x
  3. Step 3: Cross multiply
    993.52x = 1,490.52 × 583
  4. Step 4: Simplify right side
    993.52x = 868,973.16
  5. Step 5: Solve for x
    x = 868,973.16/993.52
  6. Step 6: Final answer
    x = 874.64

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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.