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Finding the Fourth Proportional to 833.64, 1,149.88 and 501.84

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Solution

The fourth proportional to 833.64, 1,149.88 and 501.84 is: 692.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.64 : 1,149.88 = 501.84 : x
  2. Step 2: Convert to fraction form
    833.64/1,149.88 = 501.84/x
  3. Step 3: Cross multiply
    833.64x = 1,149.88 × 501.84
  4. Step 4: Simplify right side
    833.64x = 577,055.78
  5. Step 5: Solve for x
    x = 577,055.78/833.64
  6. Step 6: Final answer
    x = 692.21

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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.