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Finding the Fourth Proportional to 873.20, 1,303.00 and 795.58

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Solution

The fourth proportional to 873.20, 1,303.00 and 795.58 is: 1,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.20 : 1,303.00 = 795.58 : x
  2. Step 2: Convert to fraction form
    873.20/1,303.00 = 795.58/x
  3. Step 3: Cross multiply
    873.20x = 1,303.00 × 795.58
  4. Step 4: Simplify right side
    873.20x = 1,036,635.49
  5. Step 5: Solve for x
    x = 1,036,635.49/873.20
  6. Step 6: Final answer
    x = 1,187.17

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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.