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Finding the Fourth Proportional to 675.16, 1,012.33 and 458.08

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Solution

The fourth proportional to 675.16, 1,012.33 and 458.08 is: 686.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.16 : 1,012.33 = 458.08 : x
  2. Step 2: Convert to fraction form
    675.16/1,012.33 = 458.08/x
  3. Step 3: Cross multiply
    675.16x = 1,012.33 × 458.08
  4. Step 4: Simplify right side
    675.16x = 463,728.13
  5. Step 5: Solve for x
    x = 463,728.13/675.16
  6. Step 6: Final answer
    x = 686.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.