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Finding the Fourth Proportional to 1,156.13, 1,731.07 and 607.15

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Solution

The fourth proportional to 1,156.13, 1,731.07 and 607.15 is: 909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.13 : 1,731.07 = 607.15 : x
  2. Step 2: Convert to fraction form
    1,156.13/1,731.07 = 607.15/x
  3. Step 3: Cross multiply
    1,156.13x = 1,731.07 × 607.15
  4. Step 4: Simplify right side
    1,156.13x = 1,051,019.15
  5. Step 5: Solve for x
    x = 1,051,019.15/1,156.13
  6. Step 6: Final answer
    x = 909.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.