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Finding the Fourth Proportional to 1,158.70, 1,598.96 and 864.50

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Solution

The fourth proportional to 1,158.70, 1,598.96 and 864.50 is: 1,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.70 : 1,598.96 = 864.50 : x
  2. Step 2: Convert to fraction form
    1,158.70/1,598.96 = 864.50/x
  3. Step 3: Cross multiply
    1,158.70x = 1,598.96 × 864.50
  4. Step 4: Simplify right side
    1,158.70x = 1,382,300.92
  5. Step 5: Solve for x
    x = 1,382,300.92/1,158.70
  6. Step 6: Final answer
    x = 1,192.98

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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.