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Finding the Fourth Proportional to 1,094.92, 1,510.93 and 597.55

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Solution

The fourth proportional to 1,094.92, 1,510.93 and 597.55 is: 824.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.92 : 1,510.93 = 597.55 : x
  2. Step 2: Convert to fraction form
    1,094.92/1,510.93 = 597.55/x
  3. Step 3: Cross multiply
    1,094.92x = 1,510.93 × 597.55
  4. Step 4: Simplify right side
    1,094.92x = 902,847.00
  5. Step 5: Solve for x
    x = 902,847.00/1,094.92
  6. Step 6: Final answer
    x = 824.58

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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.