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Finding the Fourth Proportional to 1,357.51, 1,873.48 and 760.13

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Solution

The fourth proportional to 1,357.51, 1,873.48 and 760.13 is: 1,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.51 : 1,873.48 = 760.13 : x
  2. Step 2: Convert to fraction form
    1,357.51/1,873.48 = 760.13/x
  3. Step 3: Cross multiply
    1,357.51x = 1,873.48 × 760.13
  4. Step 4: Simplify right side
    1,357.51x = 1,424,096.07
  5. Step 5: Solve for x
    x = 1,424,096.07/1,357.51
  6. Step 6: Final answer
    x = 1,049.05

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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.