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Finding the Fourth Proportional to 1,066.50, 1,470.76 and 693.77

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Solution

The fourth proportional to 1,066.50, 1,470.76 and 693.77 is: 956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.50 : 1,470.76 = 693.77 : x
  2. Step 2: Convert to fraction form
    1,066.50/1,470.76 = 693.77/x
  3. Step 3: Cross multiply
    1,066.50x = 1,470.76 × 693.77
  4. Step 4: Simplify right side
    1,066.50x = 1,020,360.08
  5. Step 5: Solve for x
    x = 1,020,360.08/1,066.50
  6. Step 6: Final answer
    x = 956.74

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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.