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Finding the Fourth Proportional to 1,298.64, 1,792.08 and 774.40

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Solution

The fourth proportional to 1,298.64, 1,792.08 and 774.40 is: 1,068.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.64 : 1,792.08 = 774.40 : x
  2. Step 2: Convert to fraction form
    1,298.64/1,792.08 = 774.40/x
  3. Step 3: Cross multiply
    1,298.64x = 1,792.08 × 774.40
  4. Step 4: Simplify right side
    1,298.64x = 1,387,786.75
  5. Step 5: Solve for x
    x = 1,387,786.75/1,298.64
  6. Step 6: Final answer
    x = 1,068.65

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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.