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Finding the Fourth Proportional to 1,545.84, 2,318.58 and 391.50

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Solution

The fourth proportional to 1,545.84, 2,318.58 and 391.50 is: 587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.84 : 2,318.58 = 391.50 : x
  2. Step 2: Convert to fraction form
    1,545.84/2,318.58 = 391.50/x
  3. Step 3: Cross multiply
    1,545.84x = 2,318.58 × 391.50
  4. Step 4: Simplify right side
    1,545.84x = 907,724.07
  5. Step 5: Solve for x
    x = 907,724.07/1,545.84
  6. Step 6: Final answer
    x = 587.20

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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.