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Finding the Fourth Proportional to 1,019.70, 1,407.06 and 577.76

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Solution

The fourth proportional to 1,019.70, 1,407.06 and 577.76 is: 797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.70 : 1,407.06 = 577.76 : x
  2. Step 2: Convert to fraction form
    1,019.70/1,407.06 = 577.76/x
  3. Step 3: Cross multiply
    1,019.70x = 1,407.06 × 577.76
  4. Step 4: Simplify right side
    1,019.70x = 812,942.99
  5. Step 5: Solve for x
    x = 812,942.99/1,019.70
  6. Step 6: Final answer
    x = 797.24

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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.