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Finding the Fourth Proportional to 1,066.65, 1,597.14 and 577.41

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Solution

The fourth proportional to 1,066.65, 1,597.14 and 577.41 is: 864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.65 : 1,597.14 = 577.41 : x
  2. Step 2: Convert to fraction form
    1,066.65/1,597.14 = 577.41/x
  3. Step 3: Cross multiply
    1,066.65x = 1,597.14 × 577.41
  4. Step 4: Simplify right side
    1,066.65x = 922,204.61
  5. Step 5: Solve for x
    x = 922,204.61/1,066.65
  6. Step 6: Final answer
    x = 864.58

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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.