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Finding the Fourth Proportional to 1,157.13, 1,596.30 and 714.87

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Solution

The fourth proportional to 1,157.13, 1,596.30 and 714.87 is: 986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.13 : 1,596.30 = 714.87 : x
  2. Step 2: Convert to fraction form
    1,157.13/1,596.30 = 714.87/x
  3. Step 3: Cross multiply
    1,157.13x = 1,596.30 × 714.87
  4. Step 4: Simplify right side
    1,157.13x = 1,141,146.98
  5. Step 5: Solve for x
    x = 1,141,146.98/1,157.13
  6. Step 6: Final answer
    x = 986.19

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1.5x scale

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.