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Finding the Fourth Proportional to 1,144.70, 1,718.06 and 560.01

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Solution

The fourth proportional to 1,144.70, 1,718.06 and 560.01 is: 840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.70 : 1,718.06 = 560.01 : x
  2. Step 2: Convert to fraction form
    1,144.70/1,718.06 = 560.01/x
  3. Step 3: Cross multiply
    1,144.70x = 1,718.06 × 560.01
  4. Step 4: Simplify right side
    1,144.70x = 962,130.78
  5. Step 5: Solve for x
    x = 962,130.78/1,144.70
  6. Step 6: Final answer
    x = 840.51

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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.