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Finding the Fourth Proportional to 1,059.72, 1,587.70 and 904.07

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Solution

The fourth proportional to 1,059.72, 1,587.70 and 904.07 is: 1,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.72 : 1,587.70 = 904.07 : x
  2. Step 2: Convert to fraction form
    1,059.72/1,587.70 = 904.07/x
  3. Step 3: Cross multiply
    1,059.72x = 1,587.70 × 904.07
  4. Step 4: Simplify right side
    1,059.72x = 1,435,387.69
  5. Step 5: Solve for x
    x = 1,435,387.69/1,059.72
  6. Step 6: Final answer
    x = 1,354.50

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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.