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Finding the Fourth Proportional to 1,018.96, 1,406.10 and 570.88

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Solution

The fourth proportional to 1,018.96, 1,406.10 and 570.88 is: 787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.96 : 1,406.10 = 570.88 : x
  2. Step 2: Convert to fraction form
    1,018.96/1,406.10 = 570.88/x
  3. Step 3: Cross multiply
    1,018.96x = 1,406.10 × 570.88
  4. Step 4: Simplify right side
    1,018.96x = 802,715.06
  5. Step 5: Solve for x
    x = 802,715.06/1,018.96
  6. Step 6: Final answer
    x = 787.78

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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.