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Finding the Fourth Proportional to 1,031.70, 1,547.61 and 415.40

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Solution

The fourth proportional to 1,031.70, 1,547.61 and 415.40 is: 623.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.70 : 1,547.61 = 415.40 : x
  2. Step 2: Convert to fraction form
    1,031.70/1,547.61 = 415.40/x
  3. Step 3: Cross multiply
    1,031.70x = 1,547.61 × 415.40
  4. Step 4: Simplify right side
    1,031.70x = 642,877.19
  5. Step 5: Solve for x
    x = 642,877.19/1,031.70
  6. Step 6: Final answer
    x = 623.12

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Why These Related Problems?

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