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Finding the Fourth Proportional to 1,094.57, 1,510.47 and 597.23

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Solution

The fourth proportional to 1,094.57, 1,510.47 and 597.23 is: 824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.57 : 1,510.47 = 597.23 : x
  2. Step 2: Convert to fraction form
    1,094.57/1,510.47 = 597.23/x
  3. Step 3: Cross multiply
    1,094.57x = 1,510.47 × 597.23
  4. Step 4: Simplify right side
    1,094.57x = 902,098.00
  5. Step 5: Solve for x
    x = 902,098.00/1,094.57
  6. Step 6: Final answer
    x = 824.16

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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.