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Finding the Fourth Proportional to 1,066.25, 1,470.53 and 693.04

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Solution

The fourth proportional to 1,066.25, 1,470.53 and 693.04 is: 955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.25 : 1,470.53 = 693.04 : x
  2. Step 2: Convert to fraction form
    1,066.25/1,470.53 = 693.04/x
  3. Step 3: Cross multiply
    1,066.25x = 1,470.53 × 693.04
  4. Step 4: Simplify right side
    1,066.25x = 1,019,134.17
  5. Step 5: Solve for x
    x = 1,019,134.17/1,066.25
  6. Step 6: Final answer
    x = 955.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.