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Finding the Fourth Proportional to 1,024.14, 1,409.76 and 775.02

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Solution

The fourth proportional to 1,024.14, 1,409.76 and 775.02 is: 1,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.14 : 1,409.76 = 775.02 : x
  2. Step 2: Convert to fraction form
    1,024.14/1,409.76 = 775.02/x
  3. Step 3: Cross multiply
    1,024.14x = 1,409.76 × 775.02
  4. Step 4: Simplify right side
    1,024.14x = 1,092,592.20
  5. Step 5: Solve for x
    x = 1,092,592.20/1,024.14
  6. Step 6: Final answer
    x = 1,066.84

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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.