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Finding the Fourth Proportional to 1,155.80, 1,595.01 and 631.83

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Solution

The fourth proportional to 1,155.80, 1,595.01 and 631.83 is: 871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.80 : 1,595.01 = 631.83 : x
  2. Step 2: Convert to fraction form
    1,155.80/1,595.01 = 631.83/x
  3. Step 3: Cross multiply
    1,155.80x = 1,595.01 × 631.83
  4. Step 4: Simplify right side
    1,155.80x = 1,007,775.17
  5. Step 5: Solve for x
    x = 1,007,775.17/1,155.80
  6. Step 6: Final answer
    x = 871.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.