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Finding the Fourth Proportional to 1,155.19, 1,593.71 and 650.93

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Solution

The fourth proportional to 1,155.19, 1,593.71 and 650.93 is: 898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.19 : 1,593.71 = 650.93 : x
  2. Step 2: Convert to fraction form
    1,155.19/1,593.71 = 650.93/x
  3. Step 3: Cross multiply
    1,155.19x = 1,593.71 × 650.93
  4. Step 4: Simplify right side
    1,155.19x = 1,037,393.65
  5. Step 5: Solve for x
    x = 1,037,393.65/1,155.19
  6. Step 6: Final answer
    x = 898.03

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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.