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Finding the Fourth Proportional to 1,066.16, 1,597.48 and 649.78

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Solution

The fourth proportional to 1,066.16, 1,597.48 and 649.78 is: 973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.16 : 1,597.48 = 649.78 : x
  2. Step 2: Convert to fraction form
    1,066.16/1,597.48 = 649.78/x
  3. Step 3: Cross multiply
    1,066.16x = 1,597.48 × 649.78
  4. Step 4: Simplify right side
    1,066.16x = 1,038,004.94
  5. Step 5: Solve for x
    x = 1,038,004.94/1,066.16
  6. Step 6: Final answer
    x = 973.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.