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Finding the Fourth Proportional to 1,409.37, 2,113.40 and 587.15

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Solution

The fourth proportional to 1,409.37, 2,113.40 and 587.15 is: 880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.37 : 2,113.40 = 587.15 : x
  2. Step 2: Convert to fraction form
    1,409.37/2,113.40 = 587.15/x
  3. Step 3: Cross multiply
    1,409.37x = 2,113.40 × 587.15
  4. Step 4: Simplify right side
    1,409.37x = 1,240,882.81
  5. Step 5: Solve for x
    x = 1,240,882.81/1,409.37
  6. Step 6: Final answer
    x = 880.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.