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Finding the Fourth Proportional to 1,430.14, 1,973.58 and 800.67

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Solution

The fourth proportional to 1,430.14, 1,973.58 and 800.67 is: 1,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.14 : 1,973.58 = 800.67 : x
  2. Step 2: Convert to fraction form
    1,430.14/1,973.58 = 800.67/x
  3. Step 3: Cross multiply
    1,430.14x = 1,973.58 × 800.67
  4. Step 4: Simplify right side
    1,430.14x = 1,580,179.34
  5. Step 5: Solve for x
    x = 1,580,179.34/1,430.14
  6. Step 6: Final answer
    x = 1,104.92

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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.