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Finding the Fourth Proportional to 1,065.88, 1,598.10 and 545.23

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Solution

The fourth proportional to 1,065.88, 1,598.10 and 545.23 is: 817.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.88 : 1,598.10 = 545.23 : x
  2. Step 2: Convert to fraction form
    1,065.88/1,598.10 = 545.23/x
  3. Step 3: Cross multiply
    1,065.88x = 1,598.10 × 545.23
  4. Step 4: Simplify right side
    1,065.88x = 871,332.06
  5. Step 5: Solve for x
    x = 871,332.06/1,065.88
  6. Step 6: Final answer
    x = 817.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.