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Finding the Fourth Proportional to 1,134.70, 1,702.35 and 904.46

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Solution

The fourth proportional to 1,134.70, 1,702.35 and 904.46 is: 1,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.70 : 1,702.35 = 904.46 : x
  2. Step 2: Convert to fraction form
    1,134.70/1,702.35 = 904.46/x
  3. Step 3: Cross multiply
    1,134.70x = 1,702.35 × 904.46
  4. Step 4: Simplify right side
    1,134.70x = 1,539,707.48
  5. Step 5: Solve for x
    x = 1,539,707.48/1,134.70
  6. Step 6: Final answer
    x = 1,356.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.