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Finding the Fourth Proportional to 1,032.32, 1,421.01 and 901.10

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Solution

The fourth proportional to 1,032.32, 1,421.01 and 901.10 is: 1,240.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.32 : 1,421.01 = 901.10 : x
  2. Step 2: Convert to fraction form
    1,032.32/1,421.01 = 901.10/x
  3. Step 3: Cross multiply
    1,032.32x = 1,421.01 × 901.10
  4. Step 4: Simplify right side
    1,032.32x = 1,280,475.66
  5. Step 5: Solve for x
    x = 1,280,475.66/1,032.32
  6. Step 6: Final answer
    x = 1,240.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.