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Finding the Fourth Proportional to 1,024.76, 1,416.05 and 775.64

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Solution

The fourth proportional to 1,024.76, 1,416.05 and 775.64 is: 1,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.76 : 1,416.05 = 775.64 : x
  2. Step 2: Convert to fraction form
    1,024.76/1,416.05 = 775.64/x
  3. Step 3: Cross multiply
    1,024.76x = 1,416.05 × 775.64
  4. Step 4: Simplify right side
    1,024.76x = 1,098,334.06
  5. Step 5: Solve for x
    x = 1,098,334.06/1,024.76
  6. Step 6: Final answer
    x = 1,071.80

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Why These Related Problems?

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