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Finding the Fourth Proportional to 710.45, 1,066.01 and 436.40

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Solution

The fourth proportional to 710.45, 1,066.01 and 436.40 is: 654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.45 : 1,066.01 = 436.40 : x
  2. Step 2: Convert to fraction form
    710.45/1,066.01 = 436.40/x
  3. Step 3: Cross multiply
    710.45x = 1,066.01 × 436.40
  4. Step 4: Simplify right side
    710.45x = 465,199.25
  5. Step 5: Solve for x
    x = 465,199.25/710.45
  6. Step 6: Final answer
    x = 654.80

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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.