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Finding the Fourth Proportional to 1,430.81, 1,973.80 and 900.33

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Solution

The fourth proportional to 1,430.81, 1,973.80 and 900.33 is: 1,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.81 : 1,973.80 = 900.33 : x
  2. Step 2: Convert to fraction form
    1,430.81/1,973.80 = 900.33/x
  3. Step 3: Cross multiply
    1,430.81x = 1,973.80 × 900.33
  4. Step 4: Simplify right side
    1,430.81x = 1,777,069.10
  5. Step 5: Solve for x
    x = 1,777,069.10/1,430.81
  6. Step 6: Final answer
    x = 1,242.01

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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.