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Finding the Fourth Proportional to 1,430, 1,973.68 and 840.54

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Solution

The fourth proportional to 1,430, 1,973.68 and 840.54 is: 1,160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430 : 1,973.68 = 840.54 : x
  2. Step 2: Convert to fraction form
    1,430/1,973.68 = 840.54/x
  3. Step 3: Cross multiply
    1,430x = 1,973.68 × 840.54
  4. Step 4: Simplify right side
    1,430x = 1,658,956.99
  5. Step 5: Solve for x
    x = 1,658,956.99/1,430
  6. Step 6: Final answer
    x = 1,160.11

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Why These Related Problems?

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