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Finding the Fourth Proportional to 1,053.81, 1,580.58 and 438.01

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Solution

The fourth proportional to 1,053.81, 1,580.58 and 438.01 is: 656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.81 : 1,580.58 = 438.01 : x
  2. Step 2: Convert to fraction form
    1,053.81/1,580.58 = 438.01/x
  3. Step 3: Cross multiply
    1,053.81x = 1,580.58 × 438.01
  4. Step 4: Simplify right side
    1,053.81x = 692,305.89
  5. Step 5: Solve for x
    x = 692,305.89/1,053.81
  6. Step 6: Final answer
    x = 656.96

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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.