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Finding the Fourth Proportional to 1,440.79, 1,987.03 and 1,160.93

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Solution

The fourth proportional to 1,440.79, 1,987.03 and 1,160.93 is: 1,601.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.79 : 1,987.03 = 1,160.93 : x
  2. Step 2: Convert to fraction form
    1,440.79/1,987.03 = 1,160.93/x
  3. Step 3: Cross multiply
    1,440.79x = 1,987.03 × 1,160.93
  4. Step 4: Simplify right side
    1,440.79x = 2,306,809.16
  5. Step 5: Solve for x
    x = 2,306,809.16/1,440.79
  6. Step 6: Final answer
    x = 1,601.08

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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.