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Finding the Fourth Proportional to 1,385.00, 1,911.56 and 900.07

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Solution

The fourth proportional to 1,385.00, 1,911.56 and 900.07 is: 1,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.00 : 1,911.56 = 900.07 : x
  2. Step 2: Convert to fraction form
    1,385.00/1,911.56 = 900.07/x
  3. Step 3: Cross multiply
    1,385.00x = 1,911.56 × 900.07
  4. Step 4: Simplify right side
    1,385.00x = 1,720,526.00
  5. Step 5: Solve for x
    x = 1,720,526.00/1,385.00
  6. Step 6: Final answer
    x = 1,242.25

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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.