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Finding the Fourth Proportional to 1,376.51, 2,064.35 and 760.10

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Solution

The fourth proportional to 1,376.51, 2,064.35 and 760.10 is: 1,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.51 : 2,064.35 = 760.10 : x
  2. Step 2: Convert to fraction form
    1,376.51/2,064.35 = 760.10/x
  3. Step 3: Cross multiply
    1,376.51x = 2,064.35 × 760.10
  4. Step 4: Simplify right side
    1,376.51x = 1,569,104.01
  5. Step 5: Solve for x
    x = 1,569,104.01/1,376.51
  6. Step 6: Final answer
    x = 1,139.92

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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.