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Finding the Fourth Proportional to 1,157.16, 1,596.24 and 714.84

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Solution

The fourth proportional to 1,157.16, 1,596.24 and 714.84 is: 986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.16 : 1,596.24 = 714.84 : x
  2. Step 2: Convert to fraction form
    1,157.16/1,596.24 = 714.84/x
  3. Step 3: Cross multiply
    1,157.16x = 1,596.24 × 714.84
  4. Step 4: Simplify right side
    1,157.16x = 1,141,056.20
  5. Step 5: Solve for x
    x = 1,141,056.20/1,157.16
  6. Step 6: Final answer
    x = 986.08

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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.