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Finding the Fourth Proportional to 1,134.58, 1,564.14 and 970.54

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Solution

The fourth proportional to 1,134.58, 1,564.14 and 970.54 is: 1,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.58 : 1,564.14 = 970.54 : x
  2. Step 2: Convert to fraction form
    1,134.58/1,564.14 = 970.54/x
  3. Step 3: Cross multiply
    1,134.58x = 1,564.14 × 970.54
  4. Step 4: Simplify right side
    1,134.58x = 1,518,060.44
  5. Step 5: Solve for x
    x = 1,518,060.44/1,134.58
  6. Step 6: Final answer
    x = 1,337.99

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