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Finding the Fourth Proportional to 832.02, 1,148.16 and 477.93

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Solution

The fourth proportional to 832.02, 1,148.16 and 477.93 is: 659.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.02 : 1,148.16 = 477.93 : x
  2. Step 2: Convert to fraction form
    832.02/1,148.16 = 477.93/x
  3. Step 3: Cross multiply
    832.02x = 1,148.16 × 477.93
  4. Step 4: Simplify right side
    832.02x = 548,746.21
  5. Step 5: Solve for x
    x = 548,746.21/832.02
  6. Step 6: Final answer
    x = 659.53

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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.