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Finding the Fourth Proportional to 1,121.39, 1,547.57 and 624.00

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Solution

The fourth proportional to 1,121.39, 1,547.57 and 624.00 is: 861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.39 : 1,547.57 = 624.00 : x
  2. Step 2: Convert to fraction form
    1,121.39/1,547.57 = 624.00/x
  3. Step 3: Cross multiply
    1,121.39x = 1,547.57 × 624.00
  4. Step 4: Simplify right side
    1,121.39x = 965,691.04
  5. Step 5: Solve for x
    x = 965,691.04/1,121.39
  6. Step 6: Final answer
    x = 861.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.