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Finding the Fourth Proportional to 1,031.68, 1,547.15 and 373.38

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Solution

The fourth proportional to 1,031.68, 1,547.15 and 373.38 is: 559.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.68 : 1,547.15 = 373.38 : x
  2. Step 2: Convert to fraction form
    1,031.68/1,547.15 = 373.38/x
  3. Step 3: Cross multiply
    1,031.68x = 1,547.15 × 373.38
  4. Step 4: Simplify right side
    1,031.68x = 577,680.58
  5. Step 5: Solve for x
    x = 577,680.58/1,031.68
  6. Step 6: Final answer
    x = 559.94

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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.