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Finding the Fourth Proportional to 1,152.07, 1,588.18 and 797.45

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Solution

The fourth proportional to 1,152.07, 1,588.18 and 797.45 is: 1,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.07 : 1,588.18 = 797.45 : x
  2. Step 2: Convert to fraction form
    1,152.07/1,588.18 = 797.45/x
  3. Step 3: Cross multiply
    1,152.07x = 1,588.18 × 797.45
  4. Step 4: Simplify right side
    1,152.07x = 1,266,492.15
  5. Step 5: Solve for x
    x = 1,266,492.15/1,152.07
  6. Step 6: Final answer
    x = 1,099.32

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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.