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Finding the Fourth Proportional to 1,535.07, 2,302.63 and 713.13

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Solution

The fourth proportional to 1,535.07, 2,302.63 and 713.13 is: 1,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.07 : 2,302.63 = 713.13 : x
  2. Step 2: Convert to fraction form
    1,535.07/2,302.63 = 713.13/x
  3. Step 3: Cross multiply
    1,535.07x = 2,302.63 × 713.13
  4. Step 4: Simplify right side
    1,535.07x = 1,642,064.11
  5. Step 5: Solve for x
    x = 1,642,064.11/1,535.07
  6. Step 6: Final answer
    x = 1,069.70

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