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Finding the Fourth Proportional to 1,031.56, 1,546.78 and 707.32

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Solution

The fourth proportional to 1,031.56, 1,546.78 and 707.32 is: 1,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.56 : 1,546.78 = 707.32 : x
  2. Step 2: Convert to fraction form
    1,031.56/1,546.78 = 707.32/x
  3. Step 3: Cross multiply
    1,031.56x = 1,546.78 × 707.32
  4. Step 4: Simplify right side
    1,031.56x = 1,094,068.43
  5. Step 5: Solve for x
    x = 1,094,068.43/1,031.56
  6. Step 6: Final answer
    x = 1,060.60

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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.