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Finding the Fourth Proportional to 1,370.48, 1,889.88 and 904.88

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Solution

The fourth proportional to 1,370.48, 1,889.88 and 904.88 is: 1,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.48 : 1,889.88 = 904.88 : x
  2. Step 2: Convert to fraction form
    1,370.48/1,889.88 = 904.88/x
  3. Step 3: Cross multiply
    1,370.48x = 1,889.88 × 904.88
  4. Step 4: Simplify right side
    1,370.48x = 1,710,114.61
  5. Step 5: Solve for x
    x = 1,710,114.61/1,370.48
  6. Step 6: Final answer
    x = 1,247.82

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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.