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Finding the Fourth Proportional to 830.61, 1,145.88 and 535.77

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Solution

The fourth proportional to 830.61, 1,145.88 and 535.77 is: 739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.61 : 1,145.88 = 535.77 : x
  2. Step 2: Convert to fraction form
    830.61/1,145.88 = 535.77/x
  3. Step 3: Cross multiply
    830.61x = 1,145.88 × 535.77
  4. Step 4: Simplify right side
    830.61x = 613,928.13
  5. Step 5: Solve for x
    x = 613,928.13/830.61
  6. Step 6: Final answer
    x = 739.13

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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.