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Finding the Fourth Proportional to 1,157.95, 1,598.31 and 715.69

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Solution

The fourth proportional to 1,157.95, 1,598.31 and 715.69 is: 987.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.95 : 1,598.31 = 715.69 : x
  2. Step 2: Convert to fraction form
    1,157.95/1,598.31 = 715.69/x
  3. Step 3: Cross multiply
    1,157.95x = 1,598.31 × 715.69
  4. Step 4: Simplify right side
    1,157.95x = 1,143,894.48
  5. Step 5: Solve for x
    x = 1,143,894.48/1,157.95
  6. Step 6: Final answer
    x = 987.86

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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.