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Finding the Fourth Proportional to 1,681.16, 2,521.98 and 527

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Solution

The fourth proportional to 1,681.16, 2,521.98 and 527 is: 790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.16 : 2,521.98 = 527 : x
  2. Step 2: Convert to fraction form
    1,681.16/2,521.98 = 527/x
  3. Step 3: Cross multiply
    1,681.16x = 2,521.98 × 527
  4. Step 4: Simplify right side
    1,681.16x = 1,329,083.46
  5. Step 5: Solve for x
    x = 1,329,083.46/1,681.16
  6. Step 6: Final answer
    x = 790.58

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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.