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Finding the Fourth Proportional to 1,513.42, 2,088.74 and 924.29

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Solution

The fourth proportional to 1,513.42, 2,088.74 and 924.29 is: 1,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.42 : 2,088.74 = 924.29 : x
  2. Step 2: Convert to fraction form
    1,513.42/2,088.74 = 924.29/x
  3. Step 3: Cross multiply
    1,513.42x = 2,088.74 × 924.29
  4. Step 4: Simplify right side
    1,513.42x = 1,930,601.49
  5. Step 5: Solve for x
    x = 1,930,601.49/1,513.42
  6. Step 6: Final answer
    x = 1,275.66

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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.