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Finding the Fourth Proportional to 1,094.56, 1,510.45 and 597.17

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Solution

The fourth proportional to 1,094.56, 1,510.45 and 597.17 is: 824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.56 : 1,510.45 = 597.17 : x
  2. Step 2: Convert to fraction form
    1,094.56/1,510.45 = 597.17/x
  3. Step 3: Cross multiply
    1,094.56x = 1,510.45 × 597.17
  4. Step 4: Simplify right side
    1,094.56x = 901,997.71
  5. Step 5: Solve for x
    x = 901,997.71/1,094.56
  6. Step 6: Final answer
    x = 824.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.