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Finding the Fourth Proportional to 1,545.87, 2,319.19 and 450.25

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Solution

The fourth proportional to 1,545.87, 2,319.19 and 450.25 is: 675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.87 : 2,319.19 = 450.25 : x
  2. Step 2: Convert to fraction form
    1,545.87/2,319.19 = 450.25/x
  3. Step 3: Cross multiply
    1,545.87x = 2,319.19 × 450.25
  4. Step 4: Simplify right side
    1,545.87x = 1,044,210.91
  5. Step 5: Solve for x
    x = 1,044,210.91/1,545.87
  6. Step 6: Final answer
    x = 675.48

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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.