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Finding the Fourth Proportional to 830.18, 1,145.59 and 476.08

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Solution

The fourth proportional to 830.18, 1,145.59 and 476.08 is: 656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.18 : 1,145.59 = 476.08 : x
  2. Step 2: Convert to fraction form
    830.18/1,145.59 = 476.08/x
  3. Step 3: Cross multiply
    830.18x = 1,145.59 × 476.08
  4. Step 4: Simplify right side
    830.18x = 545,392.49
  5. Step 5: Solve for x
    x = 545,392.49/830.18
  6. Step 6: Final answer
    x = 656.96

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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.