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Finding the Fourth Proportional to 716.41, 1,075.16 and 524.53

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Solution

The fourth proportional to 716.41, 1,075.16 and 524.53 is: 787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.41 : 1,075.16 = 524.53 : x
  2. Step 2: Convert to fraction form
    716.41/1,075.16 = 524.53/x
  3. Step 3: Cross multiply
    716.41x = 1,075.16 × 524.53
  4. Step 4: Simplify right side
    716.41x = 563,953.67
  5. Step 5: Solve for x
    x = 563,953.67/716.41
  6. Step 6: Final answer
    x = 787.19

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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.