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Finding the Fourth Proportional to 1,498.83, 2,068.01 and 1,001.13

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Solution

The fourth proportional to 1,498.83, 2,068.01 and 1,001.13 is: 1,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.83 : 2,068.01 = 1,001.13 : x
  2. Step 2: Convert to fraction form
    1,498.83/2,068.01 = 1,001.13/x
  3. Step 3: Cross multiply
    1,498.83x = 2,068.01 × 1,001.13
  4. Step 4: Simplify right side
    1,498.83x = 2,070,341.85
  5. Step 5: Solve for x
    x = 2,070,341.85/1,498.83
  6. Step 6: Final answer
    x = 1,381.31

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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.