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Finding the Fourth Proportional to 1,157.07, 1,726.64 and 1,034.01

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Solution

The fourth proportional to 1,157.07, 1,726.64 and 1,034.01 is: 1,543.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.07 : 1,726.64 = 1,034.01 : x
  2. Step 2: Convert to fraction form
    1,157.07/1,726.64 = 1,034.01/x
  3. Step 3: Cross multiply
    1,157.07x = 1,726.64 × 1,034.01
  4. Step 4: Simplify right side
    1,157.07x = 1,785,363.03
  5. Step 5: Solve for x
    x = 1,785,363.03/1,157.07
  6. Step 6: Final answer
    x = 1,543.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.