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Finding the Fourth Proportional to 1,303.90, 1,955.14 and 438.01

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Solution

The fourth proportional to 1,303.90, 1,955.14 and 438.01 is: 656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.90 : 1,955.14 = 438.01 : x
  2. Step 2: Convert to fraction form
    1,303.90/1,955.14 = 438.01/x
  3. Step 3: Cross multiply
    1,303.90x = 1,955.14 × 438.01
  4. Step 4: Simplify right side
    1,303.90x = 856,364.89
  5. Step 5: Solve for x
    x = 856,364.89/1,303.90
  6. Step 6: Final answer
    x = 656.77

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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.