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Finding the Fourth Proportional to 1,043.79, 1,569.06 and 840.63

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Solution

The fourth proportional to 1,043.79, 1,569.06 and 840.63 is: 1,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.79 : 1,569.06 = 840.63 : x
  2. Step 2: Convert to fraction form
    1,043.79/1,569.06 = 840.63/x
  3. Step 3: Cross multiply
    1,043.79x = 1,569.06 × 840.63
  4. Step 4: Simplify right side
    1,043.79x = 1,318,998.91
  5. Step 5: Solve for x
    x = 1,318,998.91/1,043.79
  6. Step 6: Final answer
    x = 1,263.66

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Why These Related Problems?

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