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Finding the Fourth Proportional to 1,031.76, 1,547.76 and 415.54

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Solution

The fourth proportional to 1,031.76, 1,547.76 and 415.54 is: 623.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.76 : 1,547.76 = 415.54 : x
  2. Step 2: Convert to fraction form
    1,031.76/1,547.76 = 415.54/x
  3. Step 3: Cross multiply
    1,031.76x = 1,547.76 × 415.54
  4. Step 4: Simplify right side
    1,031.76x = 643,156.19
  5. Step 5: Solve for x
    x = 643,156.19/1,031.76
  6. Step 6: Final answer
    x = 623.36

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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.