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Finding the Fourth Proportional to 1,031.48, 1,547.64 and 685.28

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Solution

The fourth proportional to 1,031.48, 1,547.64 and 685.28 is: 1,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.48 : 1,547.64 = 685.28 : x
  2. Step 2: Convert to fraction form
    1,031.48/1,547.64 = 685.28/x
  3. Step 3: Cross multiply
    1,031.48x = 1,547.64 × 685.28
  4. Step 4: Simplify right side
    1,031.48x = 1,060,566.74
  5. Step 5: Solve for x
    x = 1,060,566.74/1,031.48
  6. Step 6: Final answer
    x = 1,028.20

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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.