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Finding the Fourth Proportional to 1,032.84, 1,547.64 and 545.76

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Solution

The fourth proportional to 1,032.84, 1,547.64 and 545.76 is: 817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.84 : 1,547.64 = 545.76 : x
  2. Step 2: Convert to fraction form
    1,032.84/1,547.64 = 545.76/x
  3. Step 3: Cross multiply
    1,032.84x = 1,547.64 × 545.76
  4. Step 4: Simplify right side
    1,032.84x = 844,640.01
  5. Step 5: Solve for x
    x = 844,640.01/1,032.84
  6. Step 6: Final answer
    x = 817.78

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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.