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Finding the Fourth Proportional to 1,066.04, 1,597.02 and 655.32

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Solution

The fourth proportional to 1,066.04, 1,597.02 and 655.32 is: 981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.04 : 1,597.02 = 655.32 : x
  2. Step 2: Convert to fraction form
    1,066.04/1,597.02 = 655.32/x
  3. Step 3: Cross multiply
    1,066.04x = 1,597.02 × 655.32
  4. Step 4: Simplify right side
    1,066.04x = 1,046,559.15
  5. Step 5: Solve for x
    x = 1,046,559.15/1,066.04
  6. Step 6: Final answer
    x = 981.73

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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.