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Finding the Fourth Proportional to 1,364.90, 1,883.64 and 775.40

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Solution

The fourth proportional to 1,364.90, 1,883.64 and 775.40 is: 1,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.90 : 1,883.64 = 775.40 : x
  2. Step 2: Convert to fraction form
    1,364.90/1,883.64 = 775.40/x
  3. Step 3: Cross multiply
    1,364.90x = 1,883.64 × 775.40
  4. Step 4: Simplify right side
    1,364.90x = 1,460,574.46
  5. Step 5: Solve for x
    x = 1,460,574.46/1,364.90
  6. Step 6: Final answer
    x = 1,070.10

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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.