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Finding the Fourth Proportional to 1,303.90, 1,955.14 and 600.35

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Solution

The fourth proportional to 1,303.90, 1,955.14 and 600.35 is: 900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.90 : 1,955.14 = 600.35 : x
  2. Step 2: Convert to fraction form
    1,303.90/1,955.14 = 600.35/x
  3. Step 3: Cross multiply
    1,303.90x = 1,955.14 × 600.35
  4. Step 4: Simplify right side
    1,303.90x = 1,173,757.02
  5. Step 5: Solve for x
    x = 1,173,757.02/1,303.90
  6. Step 6: Final answer
    x = 900.19

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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.