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Finding the Fourth Proportional to 1,763.64, 2,645.06 and 530.35

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Solution

The fourth proportional to 1,763.64, 2,645.06 and 530.35 is: 795.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.64 : 2,645.06 = 530.35 : x
  2. Step 2: Convert to fraction form
    1,763.64/2,645.06 = 530.35/x
  3. Step 3: Cross multiply
    1,763.64x = 2,645.06 × 530.35
  4. Step 4: Simplify right side
    1,763.64x = 1,402,798.31
  5. Step 5: Solve for x
    x = 1,402,798.31/1,763.64
  6. Step 6: Final answer
    x = 795.40

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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.