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Finding the Fourth Proportional to 1,368.58, 2,053.01 and 444.10

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Solution

The fourth proportional to 1,368.58, 2,053.01 and 444.10 is: 666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.58 : 2,053.01 = 444.10 : x
  2. Step 2: Convert to fraction form
    1,368.58/2,053.01 = 444.10/x
  3. Step 3: Cross multiply
    1,368.58x = 2,053.01 × 444.10
  4. Step 4: Simplify right side
    1,368.58x = 911,741.74
  5. Step 5: Solve for x
    x = 911,741.74/1,368.58
  6. Step 6: Final answer
    x = 666.20

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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.