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Finding the Fourth Proportional to 830.72, 1,145.45 and 531.57

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Solution

The fourth proportional to 830.72, 1,145.45 and 531.57 is: 732.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.72 : 1,145.45 = 531.57 : x
  2. Step 2: Convert to fraction form
    830.72/1,145.45 = 531.57/x
  3. Step 3: Cross multiply
    830.72x = 1,145.45 × 531.57
  4. Step 4: Simplify right side
    830.72x = 608,888.19
  5. Step 5: Solve for x
    x = 608,888.19/830.72
  6. Step 6: Final answer
    x = 732.96

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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.