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Finding the Fourth Proportional to 1,490.59, 2,055.58 and 958.93

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Solution

The fourth proportional to 1,490.59, 2,055.58 and 958.93 is: 1,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.59 : 2,055.58 = 958.93 : x
  2. Step 2: Convert to fraction form
    1,490.59/2,055.58 = 958.93/x
  3. Step 3: Cross multiply
    1,490.59x = 2,055.58 × 958.93
  4. Step 4: Simplify right side
    1,490.59x = 1,971,142.26
  5. Step 5: Solve for x
    x = 1,971,142.26/1,490.59
  6. Step 6: Final answer
    x = 1,322.40

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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.