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Finding the Fourth Proportional to 1,140.93, 1,574.47 and 616.96

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Solution

The fourth proportional to 1,140.93, 1,574.47 and 616.96 is: 851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.93 : 1,574.47 = 616.96 : x
  2. Step 2: Convert to fraction form
    1,140.93/1,574.47 = 616.96/x
  3. Step 3: Cross multiply
    1,140.93x = 1,574.47 × 616.96
  4. Step 4: Simplify right side
    1,140.93x = 971,385.01
  5. Step 5: Solve for x
    x = 971,385.01/1,140.93
  6. Step 6: Final answer
    x = 851.40

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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.