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Finding the Fourth Proportional to 1,023.35, 1,536.78 and 977.18

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Solution

The fourth proportional to 1,023.35, 1,536.78 and 977.18 is: 1,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.35 : 1,536.78 = 977.18 : x
  2. Step 2: Convert to fraction form
    1,023.35/1,536.78 = 977.18/x
  3. Step 3: Cross multiply
    1,023.35x = 1,536.78 × 977.18
  4. Step 4: Simplify right side
    1,023.35x = 1,501,710.68
  5. Step 5: Solve for x
    x = 1,501,710.68/1,023.35
  6. Step 6: Final answer
    x = 1,467.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.