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Finding the Fourth Proportional to 1,030.54, 1,547.43 and 598

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Solution

The fourth proportional to 1,030.54, 1,547.43 and 598 is: 897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.54 : 1,547.43 = 598 : x
  2. Step 2: Convert to fraction form
    1,030.54/1,547.43 = 598/x
  3. Step 3: Cross multiply
    1,030.54x = 1,547.43 × 598
  4. Step 4: Simplify right side
    1,030.54x = 925,363.14
  5. Step 5: Solve for x
    x = 925,363.14/1,030.54
  6. Step 6: Final answer
    x = 897.94

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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.