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Finding the Fourth Proportional to 710.40, 1,066.68 and 452.04

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Solution

The fourth proportional to 710.40, 1,066.68 and 452.04 is: 678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.40 : 1,066.68 = 452.04 : x
  2. Step 2: Convert to fraction form
    710.40/1,066.68 = 452.04/x
  3. Step 3: Cross multiply
    710.40x = 1,066.68 × 452.04
  4. Step 4: Simplify right side
    710.40x = 482,182.03
  5. Step 5: Solve for x
    x = 482,182.03/710.40
  6. Step 6: Final answer
    x = 678.75

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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.