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Finding the Fourth Proportional to 1,030.89, 1,547.87 and 824.85

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Solution

The fourth proportional to 1,030.89, 1,547.87 and 824.85 is: 1,238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.89 : 1,547.87 = 824.85 : x
  2. Step 2: Convert to fraction form
    1,030.89/1,547.87 = 824.85/x
  3. Step 3: Cross multiply
    1,030.89x = 1,547.87 × 824.85
  4. Step 4: Simplify right side
    1,030.89x = 1,276,760.57
  5. Step 5: Solve for x
    x = 1,276,760.57/1,030.89
  6. Step 6: Final answer
    x = 1,238.50

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1.5x scale

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.