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Finding the Fourth Proportional to 1,312.07, 1,963.31 and 790.16

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Solution

The fourth proportional to 1,312.07, 1,963.31 and 790.16 is: 1,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.07 : 1,963.31 = 790.16 : x
  2. Step 2: Convert to fraction form
    1,312.07/1,963.31 = 790.16/x
  3. Step 3: Cross multiply
    1,312.07x = 1,963.31 × 790.16
  4. Step 4: Simplify right side
    1,312.07x = 1,551,315.26
  5. Step 5: Solve for x
    x = 1,551,315.26/1,312.07
  6. Step 6: Final answer
    x = 1,182.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.