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Finding the Fourth Proportional to 1,130.93, 1,697.97 and 583.51

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Solution

The fourth proportional to 1,130.93, 1,697.97 and 583.51 is: 876.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.93 : 1,697.97 = 583.51 : x
  2. Step 2: Convert to fraction form
    1,130.93/1,697.97 = 583.51/x
  3. Step 3: Cross multiply
    1,130.93x = 1,697.97 × 583.51
  4. Step 4: Simplify right side
    1,130.93x = 990,773.98
  5. Step 5: Solve for x
    x = 990,773.98/1,130.93
  6. Step 6: Final answer
    x = 876.07

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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.