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Finding the Fourth Proportional to 1,071.05, 1,478.07 and 598.93

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Solution

The fourth proportional to 1,071.05, 1,478.07 and 598.93 is: 826.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.05 : 1,478.07 = 598.93 : x
  2. Step 2: Convert to fraction form
    1,071.05/1,478.07 = 598.93/x
  3. Step 3: Cross multiply
    1,071.05x = 1,478.07 × 598.93
  4. Step 4: Simplify right side
    1,071.05x = 885,253.07
  5. Step 5: Solve for x
    x = 885,253.07/1,071.05
  6. Step 6: Final answer
    x = 826.53

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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.