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Finding the Fourth Proportional to 1,059.90, 1,581.42 and 904.08

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Solution

The fourth proportional to 1,059.90, 1,581.42 and 904.08 is: 1,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.90 : 1,581.42 = 904.08 : x
  2. Step 2: Convert to fraction form
    1,059.90/1,581.42 = 904.08/x
  3. Step 3: Cross multiply
    1,059.90x = 1,581.42 × 904.08
  4. Step 4: Simplify right side
    1,059.90x = 1,429,730.19
  5. Step 5: Solve for x
    x = 1,429,730.19/1,059.90
  6. Step 6: Final answer
    x = 1,348.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.