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Finding the Fourth Proportional to 710.69, 1,066.22 and 565.00

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Solution

The fourth proportional to 710.69, 1,066.22 and 565.00 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.69 : 1,066.22 = 565.00 : x
  2. Step 2: Convert to fraction form
    710.69/1,066.22 = 565.00/x
  3. Step 3: Cross multiply
    710.69x = 1,066.22 × 565.00
  4. Step 4: Simplify right side
    710.69x = 602,408.81
  5. Step 5: Solve for x
    x = 602,408.81/710.69
  6. Step 6: Final answer
    x = 847.64

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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.