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Finding the Fourth Proportional to 1,017.66, 1,526.72 and 530.58

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Solution

The fourth proportional to 1,017.66, 1,526.72 and 530.58 is: 795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.66 : 1,526.72 = 530.58 : x
  2. Step 2: Convert to fraction form
    1,017.66/1,526.72 = 530.58/x
  3. Step 3: Cross multiply
    1,017.66x = 1,526.72 × 530.58
  4. Step 4: Simplify right side
    1,017.66x = 810,050.17
  5. Step 5: Solve for x
    x = 810,050.17/1,017.66
  6. Step 6: Final answer
    x = 795.99

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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.