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Finding the Fourth Proportional to 1,094.40, 1,510.29 and 597.03

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Solution

The fourth proportional to 1,094.40, 1,510.29 and 597.03 is: 823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.40 : 1,510.29 = 597.03 : x
  2. Step 2: Convert to fraction form
    1,094.40/1,510.29 = 597.03/x
  3. Step 3: Cross multiply
    1,094.40x = 1,510.29 × 597.03
  4. Step 4: Simplify right side
    1,094.40x = 901,688.44
  5. Step 5: Solve for x
    x = 901,688.44/1,094.40
  6. Step 6: Final answer
    x = 823.91

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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.