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Finding the Fourth Proportional to 1,159.03, 1,597.35 and 915.73

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Solution

The fourth proportional to 1,159.03, 1,597.35 and 915.73 is: 1,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.03 : 1,597.35 = 915.73 : x
  2. Step 2: Convert to fraction form
    1,159.03/1,597.35 = 915.73/x
  3. Step 3: Cross multiply
    1,159.03x = 1,597.35 × 915.73
  4. Step 4: Simplify right side
    1,159.03x = 1,462,741.32
  5. Step 5: Solve for x
    x = 1,462,741.32/1,159.03
  6. Step 6: Final answer
    x = 1,262.04

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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.