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Finding the Fourth Proportional to 832.48, 1,148.16 and 583.72

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Solution

The fourth proportional to 832.48, 1,148.16 and 583.72 is: 805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.48 : 1,148.16 = 583.72 : x
  2. Step 2: Convert to fraction form
    832.48/1,148.16 = 583.72/x
  3. Step 3: Cross multiply
    832.48x = 1,148.16 × 583.72
  4. Step 4: Simplify right side
    832.48x = 670,203.96
  5. Step 5: Solve for x
    x = 670,203.96/832.48
  6. Step 6: Final answer
    x = 805.07

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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.