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Finding the Fourth Proportional to 1,031.70, 1,547.55 and 1,020.90

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Solution

The fourth proportional to 1,031.70, 1,547.55 and 1,020.90 is: 1,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.70 : 1,547.55 = 1,020.90 : x
  2. Step 2: Convert to fraction form
    1,031.70/1,547.55 = 1,020.90/x
  3. Step 3: Cross multiply
    1,031.70x = 1,547.55 × 1,020.90
  4. Step 4: Simplify right side
    1,031.70x = 1,579,893.80
  5. Step 5: Solve for x
    x = 1,579,893.80/1,031.70
  6. Step 6: Final answer
    x = 1,531.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.