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Finding the Fourth Proportional to 1,157.84, 1,598.32 and 692

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Solution

The fourth proportional to 1,157.84, 1,598.32 and 692 is: 955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.84 : 1,598.32 = 692 : x
  2. Step 2: Convert to fraction form
    1,157.84/1,598.32 = 692/x
  3. Step 3: Cross multiply
    1,157.84x = 1,598.32 × 692
  4. Step 4: Simplify right side
    1,157.84x = 1,106,037.44
  5. Step 5: Solve for x
    x = 1,106,037.44/1,157.84
  6. Step 6: Final answer
    x = 955.26

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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.