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Finding the Fourth Proportional to 1,117.02, 1,541.70 and 645.22

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Solution

The fourth proportional to 1,117.02, 1,541.70 and 645.22 is: 890.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.02 : 1,541.70 = 645.22 : x
  2. Step 2: Convert to fraction form
    1,117.02/1,541.70 = 645.22/x
  3. Step 3: Cross multiply
    1,117.02x = 1,541.70 × 645.22
  4. Step 4: Simplify right side
    1,117.02x = 994,735.67
  5. Step 5: Solve for x
    x = 994,735.67/1,117.02
  6. Step 6: Final answer
    x = 890.53

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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.