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Finding the Fourth Proportional to 1,057.68, 1,579.10 and 954

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Solution

The fourth proportional to 1,057.68, 1,579.10 and 954 is: 1,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.68 : 1,579.10 = 954 : x
  2. Step 2: Convert to fraction form
    1,057.68/1,579.10 = 954/x
  3. Step 3: Cross multiply
    1,057.68x = 1,579.10 × 954
  4. Step 4: Simplify right side
    1,057.68x = 1,506,461.40
  5. Step 5: Solve for x
    x = 1,506,461.40/1,057.68
  6. Step 6: Final answer
    x = 1,424.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.