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Finding the Fourth Proportional to 903.61, 1,357.77 and 788.34

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Solution

The fourth proportional to 903.61, 1,357.77 and 788.34 is: 1,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.61 : 1,357.77 = 788.34 : x
  2. Step 2: Convert to fraction form
    903.61/1,357.77 = 788.34/x
  3. Step 3: Cross multiply
    903.61x = 1,357.77 × 788.34
  4. Step 4: Simplify right side
    903.61x = 1,070,384.40
  5. Step 5: Solve for x
    x = 1,070,384.40/903.61
  6. Step 6: Final answer
    x = 1,184.56

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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.