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Finding the Fourth Proportional to 1,030.01, 1,545.02 and 597.47

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Solution

The fourth proportional to 1,030.01, 1,545.02 and 597.47 is: 896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.01 : 1,545.02 = 597.47 : x
  2. Step 2: Convert to fraction form
    1,030.01/1,545.02 = 597.47/x
  3. Step 3: Cross multiply
    1,030.01x = 1,545.02 × 597.47
  4. Step 4: Simplify right side
    1,030.01x = 923,100.11
  5. Step 5: Solve for x
    x = 923,100.11/1,030.01
  6. Step 6: Final answer
    x = 896.21

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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.