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Finding the Fourth Proportional to 1,023.19, 1,411.47 and 649.53

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Solution

The fourth proportional to 1,023.19, 1,411.47 and 649.53 is: 896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.19 : 1,411.47 = 649.53 : x
  2. Step 2: Convert to fraction form
    1,023.19/1,411.47 = 649.53/x
  3. Step 3: Cross multiply
    1,023.19x = 1,411.47 × 649.53
  4. Step 4: Simplify right side
    1,023.19x = 916,792.11
  5. Step 5: Solve for x
    x = 916,792.11/1,023.19
  6. Step 6: Final answer
    x = 896.02

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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.